{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practical Statistics for Data Scientists (R)\n",
    "# Chapter 5. Classification\n",
    "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import required R packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:20.478407Z",
     "iopub.status.busy": "2022-04-26T20:06:20.475616Z",
     "iopub.status.idle": "2022-04-26T20:06:21.824575Z",
     "shell.execute_reply": "2022-04-26T20:06:21.823062Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: MASS\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘MASS’ was built under R version 4.1.3”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘dplyr’ was built under R version 4.1.2”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘dplyr’\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following object is masked from ‘package:MASS’:\n",
      "\n",
      "    select\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    filter, lag\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    intersect, setdiff, setequal, union\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘mgcv’ was built under R version 4.1.3”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: nlme\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘nlme’ was built under R version 4.1.2”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘nlme’\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following object is masked from ‘package:dplyr’:\n",
      "\n",
      "    collapse\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "This is mgcv 1.8-40. For overview type 'help(\"mgcv-package\")'.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘rpart’ was built under R version 4.1.2”\n"
     ]
    }
   ],
   "source": [
    "library(klaR)\n",
    "library(MASS)\n",
    "library(dplyr)\n",
    "library(ggplot2)\n",
    "library(FNN)\n",
    "library(mgcv)\n",
    "library(rpart)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define paths to data sets. If you don't keep your data in the same directory as the code, adapt the path names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:21.850665Z",
     "iopub.status.busy": "2022-04-26T20:06:21.827876Z",
     "iopub.status.idle": "2022-04-26T20:06:23.094649Z",
     "shell.execute_reply": "2022-04-26T20:06:23.093297Z"
    }
   },
   "outputs": [],
   "source": [
    "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n",
    "\n",
    "loan3000 <- read.csv(file.path(PSDS_PATH, 'data', 'loan3000.csv'), stringsAsFactors=TRUE)\n",
    "loan_data <- read.csv(file.path(PSDS_PATH, 'data', 'loan_data.csv.gz'), stringsAsFactors=TRUE)\n",
    "full_train_set <- read.csv(file.path(PSDS_PATH, 'data', 'full_train_set.csv.gz'), stringsAsFactors=TRUE)\n",
    "\n",
    "# order the outcome variable\n",
    "loan3000$outcome <- ordered(loan3000$outcome, levels=c('paid off', 'default'))\n",
    "loan_data$outcome <- ordered(loan_data$outcome, levels=c('paid off', 'default'))\n",
    "full_train_set$outcome <- ordered(full_train_set$outcome, levels=c('paid off', 'default'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Naive Bayes\n",
    "## The Naive Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.098783Z",
     "iopub.status.busy": "2022-04-26T20:06:23.097680Z",
     "iopub.status.idle": "2022-04-26T20:06:23.322809Z",
     "shell.execute_reply": "2022-04-26T20:06:23.321537Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "$purpose_\n",
       "          var\n",
       "grouping   credit_card debt_consolidation home_improvement major_purchase\n",
       "  paid off  0.18759649         0.55215915       0.07150104     0.05359270\n",
       "  default   0.15151515         0.57571347       0.05981209     0.03727229\n",
       "          var\n",
       "grouping      medical      other small_business\n",
       "  paid off 0.01424728 0.09990737     0.02099599\n",
       "  default  0.01433549 0.11561025     0.04574126\n",
       "\n",
       "$home_\n",
       "          var\n",
       "grouping    MORTGAGE       OWN      RENT\n",
       "  paid off 0.4894800 0.0808963 0.4296237\n",
       "  default  0.4313440 0.0832782 0.4853778\n",
       "\n",
       "$emp_len_\n",
       "          var\n",
       "grouping     < 1 Year   > 1 Year\n",
       "  paid off 0.03105289 0.96894711\n",
       "  default  0.04728508 0.95271492\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 1 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>purpose_</th><th scope=col>home_</th><th scope=col>emp_len_</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>small_business</td><td>MORTGAGE</td><td> &gt; 1 Year</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 1 × 3\n",
       "\\begin{tabular}{lll}\n",
       " purpose\\_ & home\\_ & emp\\_len\\_\\\\\n",
       " <fct> & <fct> & <fct>\\\\\n",
       "\\hline\n",
       "\t small\\_business & MORTGAGE &  > 1 Year\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 1 × 3\n",
       "\n",
       "| purpose_ &lt;fct&gt; | home_ &lt;fct&gt; | emp_len_ &lt;fct&gt; |\n",
       "|---|---|---|\n",
       "| small_business | MORTGAGE |  &gt; 1 Year |\n",
       "\n"
      ],
      "text/plain": [
       "  purpose_       home_    emp_len_ \n",
       "1 small_business MORTGAGE  > 1 Year"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$class</dt>\n",
       "\t\t<dd>default\n",
       "<details>\n",
       "\t<summary style=display:list-item;cursor:pointer>\n",
       "\t\t<strong>Levels</strong>:\n",
       "\t</summary>\n",
       "\t<style>\n",
       "\t.list-inline {list-style: none; margin:0; padding: 0}\n",
       "\t.list-inline>li {display: inline-block}\n",
       "\t.list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "\t</style>\n",
       "\t<ol class=list-inline><li>'paid off'</li><li>'default'</li></ol>\n",
       "</details></dd>\n",
       "\t<dt>$posterior</dt>\n",
       "\t\t<dd><table class=\"dataframe\">\n",
       "<caption>A matrix: 1 × 2 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>paid off</th><th scope=col>default</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.3463013</td><td>0.6536987</td></tr>\n",
       "</tbody>\n",
       "</table>\n",
       "</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$class] default\n",
       "\\emph{Levels}: \\begin{enumerate*}\n",
       "\\item 'paid off'\n",
       "\\item 'default'\n",
       "\\end{enumerate*}\n",
       "\n",
       "\\item[\\$posterior] A matrix: 1 × 2 of type dbl\n",
       "\\begin{tabular}{ll}\n",
       " paid off & default\\\\\n",
       "\\hline\n",
       "\t 0.3463013 & 0.6536987\\\\\n",
       "\\end{tabular}\n",
       "\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$class\n",
       ":   default\n",
       "**Levels**: 1. 'paid off'\n",
       "2. 'default'\n",
       "\n",
       "\n",
       "\n",
       "$posterior\n",
       ":   \n",
       "A matrix: 1 × 2 of type dbl\n",
       "\n",
       "| paid off | default |\n",
       "|---|---|\n",
       "| 0.3463013 | 0.6536987 |\n",
       "\n",
       "\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$class\n",
       "[1] default\n",
       "Levels: paid off default\n",
       "\n",
       "$posterior\n",
       "      paid off   default\n",
       "[1,] 0.3463013 0.6536987\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "naive_model <- NaiveBayes(outcome ~ purpose_ + home_ + emp_len_, \n",
    "                          data = na.omit(loan_data))\n",
    "naive_model$table\n",
    "\n",
    "new_loan <- loan_data[147, c('purpose_', 'home_', 'emp_len_')]\n",
    "row.names(new_loan) <- NULL\n",
    "new_loan\n",
    "\n",
    "predict(naive_model, new_loan)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.333267Z",
     "iopub.status.busy": "2022-04-26T20:06:23.332104Z",
     "iopub.status.idle": "2022-04-26T20:06:23.343153Z",
     "shell.execute_reply": "2022-04-26T20:06:23.341905Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$class\n",
      "[1] default\n",
      "Levels: paid off default\n",
      "\n",
      "$posterior\n",
      "      paid off   default\n",
      "[1,] 0.3463013 0.6536987\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(predict(naive_model, new_loan))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Due to changes in R's default behavior of converting strings to factors, it is important to convert string columns to factors when using the naive Bayes implementation in `klaR`. Use either `stringsAsFactors=TRUE` when loading the data or convert to factors explicitly. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example not in book"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.347511Z",
     "iopub.status.busy": "2022-04-26T20:06:23.346411Z",
     "iopub.status.idle": "2022-04-26T20:06:23.610086Z",
     "shell.execute_reply": "2022-04-26T20:06:23.609006Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$borrower_score</dt>\n",
       "\t\t<dd><table class=\"dataframe\">\n",
       "<caption>A matrix: 2 × 2 of type dbl</caption>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>paid off</th><td>0.5347933</td><td>0.1238649</td></tr>\n",
       "\t<tr><th scope=row>default</th><td>0.4632195</td><td>0.1233597</td></tr>\n",
       "</tbody>\n",
       "</table>\n",
       "</dd>\n",
       "\t<dt>$payment_inc_ratio</dt>\n",
       "\t\t<dd><table class=\"dataframe\">\n",
       "<caption>A matrix: 2 × 2 of type dbl</caption>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>paid off</th><td>7.294367</td><td>4.018183</td></tr>\n",
       "\t<tr><th scope=row>default</th><td>8.770084</td><td>4.373793</td></tr>\n",
       "</tbody>\n",
       "</table>\n",
       "</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$borrower\\_score] A matrix: 2 × 2 of type dbl\n",
       "\\begin{tabular}{r|ll}\n",
       "\tpaid off & 0.5347933 & 0.1238649\\\\\n",
       "\tdefault & 0.4632195 & 0.1233597\\\\\n",
       "\\end{tabular}\n",
       "\n",
       "\\item[\\$payment\\_inc\\_ratio] A matrix: 2 × 2 of type dbl\n",
       "\\begin{tabular}{r|ll}\n",
       "\tpaid off & 7.294367 & 4.018183\\\\\n",
       "\tdefault & 8.770084 & 4.373793\\\\\n",
       "\\end{tabular}\n",
       "\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$borrower_score\n",
       ":   \n",
       "A matrix: 2 × 2 of type dbl\n",
       "\n",
       "| paid off | 0.5347933 | 0.1238649 |\n",
       "| default | 0.4632195 | 0.1233597 |\n",
       "\n",
       "\n",
       "$payment_inc_ratio\n",
       ":   \n",
       "A matrix: 2 × 2 of type dbl\n",
       "\n",
       "| paid off | 7.294367 | 4.018183 |\n",
       "| default | 8.770084 | 4.373793 |\n",
       "\n",
       "\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$borrower_score\n",
       "              [,1]      [,2]\n",
       "paid off 0.5347933 0.1238649\n",
       "default  0.4632195 0.1233597\n",
       "\n",
       "$payment_inc_ratio\n",
       "             [,1]     [,2]\n",
       "paid off 7.294367 4.018183\n",
       "default  8.770084 4.373793\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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hQ7AD2l1der+/aZkyfLDtKNlSuNzEy3uNi/C+w8bm6um5srO0U3Jk82xYF+DCB5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\nWiik5+W5Q4fasoPAjw7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thU1f6973Vc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\n4sWzOcKDD7poBwGASiCKZNAgd0EB89NP2NAO6EC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FPPdcGO0sYF0odmAVeu3aBdu3F3/0EWEsdDDiK7lo8asAACAASURBVK+E5+ezzzxT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\nAokdAAAAgEj8P4PFbQM+N7eTAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "less_naive <- NaiveBayes(outcome ~ borrower_score + payment_inc_ratio + \n",
    "                           purpose_ + home_ + emp_len_, data = loan_data)\n",
    "less_naive$table[1:2]\n",
    "\n",
    "stats <- less_naive$table[[1]]\n",
    "graph <- ggplot(data.frame(borrower_score=c(0,1)), aes(borrower_score)) +\n",
    "  stat_function(fun = dnorm, color='blue', linetype=1, \n",
    "                args=list(mean=stats[1, 1], sd=stats[1, 2])) +\n",
    "  stat_function(fun = dnorm, color='red', linetype=2, \n",
    "                args=list(mean=stats[2, 1], sd=stats[2, 2])) +\n",
    "  labs(y='probability')\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Discriminant Analysis\n",
    "## A Simple Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.614302Z",
     "iopub.status.busy": "2022-04-26T20:06:23.613273Z",
     "iopub.status.idle": "2022-04-26T20:06:23.635522Z",
     "shell.execute_reply": "2022-04-26T20:06:23.634152Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 2 × 1 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>LD1</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>borrower_score</th><td>-7.17583880</td></tr>\n",
       "\t<tr><th scope=row>payment_inc_ratio</th><td> 0.09967559</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 2 × 1 of type dbl\n",
       "\\begin{tabular}{r|l}\n",
       "  & LD1\\\\\n",
       "\\hline\n",
       "\tborrower\\_score & -7.17583880\\\\\n",
       "\tpayment\\_inc\\_ratio &  0.09967559\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 2 × 1 of type dbl\n",
       "\n",
       "| <!--/--> | LD1 |\n",
       "|---|---|\n",
       "| borrower_score | -7.17583880 |\n",
       "| payment_inc_ratio |  0.09967559 |\n",
       "\n"
      ],
      "text/plain": [
       "                  LD1        \n",
       "borrower_score    -7.17583880\n",
       "payment_inc_ratio  0.09967559"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_lda <- lda(outcome ~ borrower_score + payment_inc_ratio,\n",
    "                data=loan3000)\n",
    "loan_lda$scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.639805Z",
     "iopub.status.busy": "2022-04-26T20:06:23.638599Z",
     "iopub.status.idle": "2022-04-26T20:06:23.657319Z",
     "shell.execute_reply": "2022-04-26T20:06:23.656001Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   paid off   default\n",
      "1 0.4464563 0.5535437\n",
      "2 0.4410466 0.5589534\n",
      "3 0.7273038 0.2726962\n",
      "4 0.4937462 0.5062538\n",
      "5 0.3900475 0.6099525\n",
      "6 0.5892594 0.4107406\n"
     ]
    }
   ],
   "source": [
    "pred <- predict(loan_lda)\n",
    "print(head(pred$posterior))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Figure 5.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.661808Z",
     "iopub.status.busy": "2022-04-26T20:06:23.660556Z",
     "iopub.status.idle": "2022-04-26T20:06:23.672111Z",
     "shell.execute_reply": "2022-04-26T20:06:23.670767Z"
    }
   },
   "outputs": [],
   "source": [
    "# pred <- predict(loan_lda)\n",
    "# lda_df <- cbind(loan3000, prob_default=pred$posterior[,'default'])\n",
    "\n",
    "# x <- seq(from=.33, to=.73, length=100)\n",
    "# y <- seq(from=0, to=20, length=100)\n",
    "# newdata <- data.frame(borrower_score=x, payment_inc_ratio=y)\n",
    "# pred <- predict(loan_lda, newdata=newdata)\n",
    "# lda_df0 <- cbind(newdata, outcome=pred$class)\n",
    "\n",
    "# graph <- ggplot(data=lda_df, aes(x=borrower_score, y=payment_inc_ratio, color=prob_default)) +\n",
    "#   geom_point(alpha=.6) +\n",
    "#   scale_color_gradient2(low='white', high='blue') +\n",
    "#   scale_x_continuous(expand=c(0,0)) + \n",
    "#   scale_y_continuous(expand=c(0,0), lim=c(0, 20)) + \n",
    "#   geom_line(data=lda_df0, col='darkgreen', size=2, alpha=.8) +\n",
    "#   theme_bw()\n",
    "# graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.676525Z",
     "iopub.status.busy": "2022-04-26T20:06:23.675260Z",
     "iopub.status.idle": "2022-04-26T20:06:23.684765Z",
     "shell.execute_reply": "2022-04-26T20:06:23.683284Z"
    }
   },
   "outputs": [],
   "source": [
    "# # [Book]\n",
    "# graph\n",
    "# dev.off()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:23.689446Z",
     "iopub.status.busy": "2022-04-26T20:06:23.688180Z",
     "iopub.status.idle": "2022-04-26T20:06:24.019802Z",
     "shell.execute_reply": "2022-04-26T20:06:24.018689Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 18 rows containing missing values (geom_point).”\n"
     ]
    },
    {
     "data": {
      "image/png": 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6O/I95bsp3usIwFgrhaDN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01aaZvYAc7SFfB8NXJAjx7RI4dYRXJgyLYw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\nmMVYr3zXMWUQsfF57bsK+Mwzz5TL5XPOOSe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mXCiFv3t6xyVvszh8DWBozA9CxjjlWBBEPDRm98SPWHakHIqS+EwoAAlls9YnGYLI7GXC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\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SLDINC79rgsC2Z5KXnpeYqroghYgBCY\n87dOm4sXwn0Om6PBzPbqhx7J3z6LY+ODW7K0VD3+UDDjsC3q8dxx+Bm7G7mw2H/u1OL2iWqz\nGtTjYHo0nl9JXjqztNG3a7OBA1kFzDJYIxBw3ygERAgDTYCF5cKw1ioO9RBm+9gaEKa11Y1y\n5M7+lqH+Utg9dvSx21A3S6FSBR2UA3YYVTCOJXO8PMFW8hSAJcvQGDSFZBkSimOjYNQBVWpS\nZNQYofFJGh2HMOQsc31Ox+226bYIFaeppDlkmbAAiCxecVoXw7D2yMcASTodSRLudoGl8uCj\n4e69Tuva5UXp97Bep2qNBv9sSNovLl9yWhe1bn7+iWB2e372LTs/V7z9VjA72/z8Exg4Hy3w\neO4gNm0X6pZZ7mTVSNM1V/pGRS+23Kf0AFiWc/OdpU7KLM1qtGemXgk37RNUrwRzS71+3xjL\ngKAVkcLZSef9wiw3q+00ClVVKwBgkaXVZHqCQu321KwcqhPLUHqOlKlmv2lrMimSH5784fs3\nOlkrbDFNwFgpk9sSQzoU6zZpQ5DAFmAMAOJamihYdl0XAPS+A8Xbp5EthDGy4X4vPHiURsfd\nVkVGZmGBtTARZBZEEOf3t/LwR0EH6Ssv5ufPIqnqxz5VffTj6NgvEJSGOBa2qPTAIJEFRIYg\nsMKdu8f/5H8KXn6hf+VKdXq6cewBVXc+EOzx3FlsWt3wvrjhavtu0U+3BWZ5/tTCmUvtWiVA\ngAuL/Sur/YcPTQ/nlHD4aE0iUhhGQgQxhgNQ2vVMEkCam0BTYbi88iKhUpiVOxxuQWsNCgCV\nvn2MZXT6O/jea99LiuS2nMMCAGepFAUSomCZ2MpFjo597BCABVEEyrJIIMwCgfulDWqOVD77\npH3rTdtewbAaHjxKs7tc2wVTXAOlQQzQegSxALO4j6oDpSoPfTi+7zh3O1SpoONsj5JgahsG\nobRbAiSICCLCql4PduwaQnVVr8cPPmS63bheV/Ew8g/XsZ2ObbXU2JiqDWlkxeO5BTanaHg/\nTI7EvcyMcLQ+ANbu5zt2ubVpAICLS73TF9tTo6V1PlQiWGynpy61ju2bcF16Q7i82LcWokgx\nl74UaJkvL3Ybu906U7BAnhsuFwkEAIAUWdfD5gAo685qpfEIelAUdQAAIABJREFUylqc6Q3c\nniSx9bqlj53A4PtKuR+bOzegRtIAAMIIKDKI2RDXfhgAwGwunC3OvIFaCzMgBbUGOu7YSa8D\nxgIgsggwlM8v0RC+EJZgGKrx4X1QUKNRuf94/0fPgALJCwkCYI723R24jxQDABCxiwtmfs5u\nm4EdO4cT8mE7ndWnvrHyt38DqEB44o//eOTxJ5wnfHg8t4QXdjeyfbzy8MGpX7250KyGiJJk\nvGOiet9djo9yANq9vBKpa68EtShY7eau624UWWEVAQ5CpwbRCHnuvMORZoVlIVqz/xCxlodQ\nVxARUETWg0yRfnPS1TdPfPP2GJ2Uda2FMtDs6s9QCtfCTlBYgMoV0VJOokCZV+sU8/Zpc/p1\nNTkNpEDEtpbhzVfD+x9Gp2lXcQxBAMaIsYAoIEAEiBgPo382fDjpQ5FRo2FXVwBQilw3RvIL\n58zSgp6cdlu621l96uur3/6mKNW3dvT3Hh95/Auq4XbLW5hX/uGr7WeeqRw9ikHIWbby1a8C\ny9hXvuK0rsdza3hhdyOI+MjhqenReG4lMZZHa+GBHSNx6PyIEBGvu/iWmRCbF4VimQtbTpoJ\nACpEHML2hJQZDGsRW4iIwO4fapS1WTOBNUkp+I4Zu9todLKGwPWNMhmCvEICQkCQQZYZlfcW\nHWfUCrO5cpkao4NQWkSq1u2VObswr3c49HWjah2jSLIEcC2TVyyICra73U7dKLi1mr78ogio\nyWlgAUWQppxlhWthJ7L61Nd7P/9JfPBIwVYT9X7+UwAY/5d/6LRvl1+80Pr61+Kj96JSAEBR\nFO3bt/jXf9X49Kf0mPPv/B7PzeK3Yn8DCLBvpvGRI9OfuHfm2L7xIag6ABirh0lu1mOmRKSb\nFBPNoU6QDJNKHFoWAWEBAWQAw7YSuU+8IFSEBFj2zsqRqCEc5gy0VFlSAJDwN2WK3UajkwG0\nVuXa+4iOhawwxRUgBUilxQoojUEEjo+u0Fp7+QLcMKmptBRuO9+c9CFJSsU8SDMTAWuL82ec\n1h1gbX72dPry8/npNzjpD6Ng0rfdLlWqqBQGGomgUuFul1tuEyCKK/Ot7zwd7twFigAAlQp3\n7Gp/5+lizm3Ch11tYRThNa8rDALU2q76xAvPBxHfsfugMDtRO7J79LVzK9UoQJQ0tzsm63dv\nd5yovXEYa4HW10IFBBGJ3W8RakV5bhQRlUoHwVoOHXeSAIAAeK0Ji6Wn3W/6a7fR6GSAEOJA\nb8g1P7pt///fCBLWm1jk0u9LuQEcRkCAFccj54FW23dLv3ttxIWYAmO3GcS8siwmR6Srr2dA\nAMnPvBF/+PYcqf82bLfd/8F38jdehTAUY8K9d1Ue+Viw3e0SA4URVaucJbS+q5HnWKtRze2R\nqO12KAhMt2sWF02aQhzL5CSFAfe6Tuuqep3zYj02BsoJB2NUwy/kej6IeGH3AeK+uyamRivL\nncxYHqmFu6bqN1j4biZ6SQ4gilAEBFARWIZu4jysfawRF7ktrCVEAGTLYaCaDedD0LzWIRTB\ntb1JuaFnVxqdHJ45fHuMTgAAALVma2D9ABgFBEA7d+qnyW12aQFHJ7jIiQhAVHPUue0IoN6+\nK3v+54oUBAEIc6ejt+/Sk9ucVuUsKyXdul6WMk81dz4jm/z8x/nZ0+uOxHZpMfnlT9Rjv08u\ntSw1R6haBR1waxW0BmtVoynW6HG3z69qNLnTSebnMIqAyPY6xcULWK2S4xm7cPfukc98pvf8\n8+GOHUAkzMW5c2Nf+n01Mem0rsdza3hh9wECEbdP1LYPK/thY7GD3UEcTGEBIPBvOpy8zShF\n0xO11U5qjAUArcPRZjyECDVhHrQIBwN+ZcbXddNupdHJk8eevI11qVrnLAOiteAJFgBqOA/W\npNFxvf+wvXxB9buARLO71K49+FuSNm4jesduYGsvXzBzlwAk2HcwuPvQb0v4uG1FmyM3bDgj\noIBQze3yBPe6ya9+Gu69+jWAmiP5mTfN3KXQZTyuajRHnvxK95mn9d79wAykpN+rPvRoMON2\nK1bV6npiwqYJxnE5mAt5EU5MqprbzhkqNfrPvyIi7WeewTCULB197InRL395aFvPHs9N4YWd\nBwCARbKCjbEs7s/pAACgEqm0sIPTDRlMnYXBMDqUStHE6PDXFVkAcf2oDsuu3XV/4/YanZTQ\nxDRlKfe6IoIIgKTGx2kILlwi0O9xuyVIQAS2kDRxfSQKAICod9+ltu8Okj4GwTAqlmmt19hN\ny+BnAHW33j2S54AIeN27BpUS953C6kc/KQDtb/4jkhK2jc98vv6Jz7geVi2uzHO/H+7YkZ07\nV25dRbt3c5oUV+YjxzbFwdTU1L/7n0c+/5htt9XYaLTTuTmix3PLeGHngVYvPz/fvbDQBoGl\n/vL2ierkqPPL4XgjbvWKclu0bNoh4MTIMC7DGwRe158TAbzx0nB7jU4GGCOlax2iAACzJEOJ\nUZm/VLx9Cq1FY8o/Qp5hXBmG0jLGXr4g/S7oQE1MuT//BdAatRbLwowgCCgIQKTG3Ao71WiE\n+w9yr3t11o0t55kace67SVHU+Mzv1R79KLfbVK9T3e1haAkSAaEanwjywiZ9Vamq8Qlz+dIw\nsggBkCjau3cIhTye98mmHeHyvEeSzJy51Gr1s5GablRUPyleOLXY6mau606OVqdGK4ogUKiJ\nFOHESGV6AxppQ4Jg7SxUSmO3Mpzh6hvw5PzJ0wunP3v4s7fP6AQAwCzMiclRaSRCUhho6fXs\nsuPsYxF78TxnKTMDERBBUfDiFV5acFsXQNIkfe6n2Yu/LN4+U7z5avrMN4u3T7suqhojauce\nIMRyKBaBtMYwCPbd7bawDuIjx8zCPPe6YA2niZm7VHv0E3p6xm3dNSiuUK1GQ4m7AAA9MxPM\nbE+e+5WZvyytlr1yOfn1r/TMbDi7Yzg3wOO5I/Adu63OldWk3csb1TDPGVHCUMUi8yvJSN3t\nPgER7plpjtTCfmYAoBrp0UZMQ/nmvSHIwKN4sFiHiCLA1yRe3H6jk7JulqIwlFkbAGgBiDjp\nKXA7983dFqECJBEujwvFFrx4Rbn0kwOA4tTrvLRI9aaYArXGuJo//3M1Pul2rBAx2HOXOfeW\nWFsOFkhh1PSsa7deAIiOHGsqnb1xInvlpfDQPfE998X3HR/GKaG1/V//PHn1RPrKy/GRo/GB\nQ5VHPkKRY3smy9zvSZaV3xaYBdhyryvGoA+B8HjW8MJuq5MXVuvrGreaKCvcZ1wClF26jUpM\ns8wIOEwpiVyqujWb4ut56uXbbXQCAABiDYqsRXsAADCzYsfPLzMOpsyuBcV1XWu5vQqmsJfO\nARGIYKWGSvHKslNhJ8YUZ0+hVogkbAGRlJKVJXPxvN69z11dAAARc+Ht/M2TvNoqTr2JAtGR\nYxg433ru/exHq3/311JYYJO8+Ov0xIu212s+9gW3RsHnz2Vn31LjE2ItW6uUQqXzs29l585V\njhxxV7fEdjrJK6/YdkuNjlWPHaPKJp4b8dzZeGG31dGKrL1OZbBwsHltVgAgL2wvzdOsAIBK\nHNTiMNDOPahJKbZWSgtbkDI2ldYsT5Miefbks7fX6KQE1wIvrt4SALGOsyeIMAjF9EBQsLRD\nZiDEqtsJdxHm9ir3OhBXys6oFLnkLLnj0YKky5fOg2UxBhBFhNlKURQXz7kWdt1vf6Pz9Neo\nWqV6XXq95Gc/su3VsX/7ZzdsVNxeuN/rfP87ZmkJBICw3Atq/ePfVh98SG9zeApsl5c46QfN\nGREBZiJCRNNumeUFALfCLj19euXv/y555QRGsSRJ9YEHxv/wj8LtQ8nG9Xhuks18/fa8FyZH\nKlluCzO40lvL/dROjW3aL6OFsUvtvrE2CnUYqMJwp58Z10JnEEhQ9rAEB6ZyV/1OS6OT27sP\nO0DpaxuEZfNOBY4TPhBxYgoAARitBbbAAkjKsXEuKgVFAYjAVooCjEEiyVLXyRMiYnMj1pRh\nG0gKBNCya+NcTvrp87/U9QZVqqAURCGNjGavvJS++rLTusX8XHb6JCJiGKIOMAyRiLvt9MxJ\np3VpfJzi6rU7v5LnWKkEE1NO63Karv7TPxYXL8YHDka7d0cHD2anz6z+w1eBnX9ueDy3gBd2\nW51GNXjgwGQUqHZiuqkNtDqyd2wTR5mludEKFREAIKIiNJaz3LkxMg+WfwUFBnmteHVP1tGA\nHQCgVqAQNAGgEIJGAQb3R3V6247yDiJA2deh0TFy7DcGxkqWSJZJrwtZn5Oe7XcwjtH17Bev\nJYlde8SOALnbBWR7Zc4szEN4zXgZEZCyc5fd1l2Yl6JYcwcUAAClgMU4jvaKdu2Jj91n223u\n9STLuNeznU712H3hbreZvPm5t3u/+KWeGshHRNSzM+1nvp87fpw9nlvDH8V6YGq0MtaILs+D\nZd6+bXw4ZnIbBbPcMAaECHYI37xZEABw4BIope0ZD3SAE6MTAACgsUm+fAFK82cLgEBRrMac\nTzbaxXkaGwdBk/SQlGrUbafLK0vktLmiNTZHIEuBNIhgiTU3psfebtiUhjIEzINXFyIiuY7Y\ngtI75oazdmFwPP5F9QYiQV4wCJaLz4BAyrW9C1WrY1/4Uv72W6IUWCYiqNqRJ75EVcdG0FmO\n1w8iIyKQksy5X6DHcwt4YecBANCKGlVtrd3cqg4Ayu0FuP46OAxPZlyLiYVr/o0Aa0YnX7zv\ni3Fw+xtLFASlBXR5FgyoMYgEHe+MiEieoQinfUz7EETc65FSkiZOy4IIKo0AEISIBAhSFIKI\nLgfOAECNT+jpGbu6LEVR/gSDEEyhts06rRtsm43uPpS+dQqjECwjEjDr6ZnoyH1O64Z796ux\nUbu8jIiACMwsgkEQH3S+wVB98EPb//f/o/3rX6aLC/HkVPP4Q9F+x54yAMG2bZxm3O9z0ues\noCikKKzdf38w7Xzr2eO5Bbyw84AItHrZ/GpurQWdjjfjTeypHoW6l+aIqhRzLGKZo9D5GwFJ\nseVyQRUASnWJROAmcGId2+2Um6HAFhCBSLKMe13XHrZS5HZlCZEAEIpcTAFKA7kVWGINt1ep\nMcKdFhcFIGKlipUqsNujdiQV3f9w/7vfwChGUgAieab3HwoPHnVaFwDiD388OXOSO10kAmFU\nurLvgHbcOQNhYAal11a8BRF1XHX9/AIAiJiVZbu6wp2ODQKzuhINWoYOCaanR578wtJf/aUU\nhnTARU5BMP3v//0wElw8npvHC7utjgi8Ndd+61KbUABkbnVhx3TjwM6R4QSLDZ8o0CO1SruX\nAgKwhKEea1aHsBWLSKQIBAbRXkAAUq4ulkYnjx993ElhaxEJrC3DahEQSKFr2xFEKHK0DFQ6\nrQAIi7Wuh80xCHFkzF44C2UyrwBnfTIGI+fLQNHxR6XbTU88x70OxhW9e1/9819yLmTZ5mfP\nxAePcL/PaYpBSCMj6ZuvV5eX9LjD03bbblGjGezaV8xfkizHMNBT05Ik3G6D47jYzo+eXf6r\nv6CpKVHanD+3+Nyv+I/+pPHJTzstynnOqyvB9LQYC8boMABEMzcnzDgELbuhiB2G9ZXn9uKF\n3VZnqZ28dbk9Wg+NKZg5juNLS716Re+YdDznvnEEmuJAJ3kBIESoh+LtQloDW2stooAggJDW\npJU7o5MBiJz2wZryEFoEQAdAjoWsiJgClBKxKCAgpLSwEcdbogAA3TZYljKxTQQZxeacZ66V\nu527mL15Qk1N65lZYbGddnby1fj4h536unG7nb5+Itp3N5DGKEatqVrlOOalBXAp7CiuiGXV\nbJa9SQxCNTKadd7C2O2Sim23l/7bn8f7D3AQcFFQUFfV2tJf/JfqAw+qpkOfwvzs2e4vfxHf\ncxQRoWwQMre+993R3/9yMOv2tH2jsN3eyt99q/29n+TV5kbfFs9N44XdVqfdKyqhutantxKq\nVjff4TaYYMMwlpdbfUUYBwoAjOFuP23UKsrx1BkisggIr9kTiwiIwPdf/74ro5OyLiEUOShV\nlhVENAUGbt/4Uh7VESCjCJdCFpDEuj0SlSy1S0sC1xhBA4CwvXAu2LPfZWHJXn2RRsfLbQkE\noEole/7nwe671NQ2d2WRCCwX58/alSVQGthSc1QAXHcK1ehY5f7jvZ/+EK0FrYUtXtKVe+8P\ntu90WtcsLqDWGMew1kaiOEYdmoUrToWdZBkqPTAnKh9bIlSK02HELg8fYV74v/5y5W+e4roJ\n9/i4tjuPTd5G9rwrLPyOLVGUd+QibBrSrFCEShEgAqIizAtO3W+32SJHZtKalEKlUGkuCjHG\nndFJiViLgQZrwBRiDNgCFLFjw14khYhQGAAEIlAkbEUEq46PRK0BEQACJEAFSIAEAry67LSs\npElx+iRVr5m4UpqiCrdWnNalRlONjZnlJaw3qVKlWsP2uohIo+NO64IIcEFRxJbZGDEWg0CE\n13dHHIFBAMxw7ceTCLBFx76ManKS0/Ra/zxO0sqx+/Tk5vz6m7z0+tJ/+/v46EGKQnS8Ue5x\nge/YbXUqkc5zUwmvvnvzwlZGN61BMfP6SigCcNnSYnavZPkdAlqhMLszOimRPBNjQSlhRkQg\ngKJwbdgLAKgDULQ2VCdAhMyArj9wCMod4PX147Iv6jpIlAgAxFpJe1LkqBRVa8zs3Gal37NL\ni6rR5KQPWgEzFAXkmXRaMOFQc5ilxeTll6IjR6Xf4zwnrbFWL86eKS5fjO5yuKMazM5WH3ok\nP3sWxwfK1SwvVT/0UDDrtqsUzs5O/PEfL//3/46VSjnQwGky9af/TjUc29lsEPmleWzU0P3k\nsccRXthtdWbGa0utZH45ZbYC0E2TiZF4x+Sm3fZCBMtg2Borikq7BsRhbIqUs3XXFXpz4dSp\nK6ccGZ0MYCPCaMvCAoYBEV0nbTBLpYpFJuVZlQggqnrD+aUiirDRkE4b1qLbypahdnzhxygO\nDh3NXn4e8gy0BhEMIz09q6Yc5msBgOQZBFrv2sOtluQ5ah00m3ZliTO3HVkxBgkREWt1Wvuo\nECIxjrePdTDy2JOr//TV5PXXOAjyPK8euWfksSddd+wAINi9R09MZGfO2G5H1erxoUPh3r2u\ni24UVIlhKHHhHkd4YecBLE/kEZHLHUaSzXsWq7Uy/QyACBEAmUXEBtp90gYRGIF1YSMizN98\n7WlwZnQygEtdBYgkV6fPHD+/RBiEUG1AVDFZSqh0tSpZ4jqcHpUKDx7Nn/u5EIm1qAIAVmOT\nwd3O/dUAENgIM2Q5IEie8eS061k3qjWiuw9Jv6cn12yf2Zo0I5cDZwCgxsfjw0dtp71++ix5\nLlkaTLmN9gKAcNfuiX/zp+0Xn+9fma9Obxu5/0GqO1/z4n6/893vUqVa/+jH2FrS2iwstL/+\n9fg//AfUm/AaWr3vcP3R+/MLbnNEPO7wM3Zbnfnl/konmxqtjNWCkZqeGq300+LSYn+jb5cr\nLAuREmEBYWEiUIqGkBWrgoC0ZlOwKWxRiDEqCL/5yrcA4LGjjzksTIhaA6kyqhaVHs4QJU1M\nSdLDIJC4KnHM1uDIGI44nv0CCO89ro89iDqgMEKl1OzO+KOfdh0pJnmWnXieswxswUUm1oiI\nmbtor7iNnMIwjA8fLa7Mcb8nLJJnxdyl6qMfCxx7jlAUV48/Uly6YFeWOUlse7W48PbIl//V\nEBJNAEDV65UPPRx94tOVDz08BFUHAPm5c/0XXlCjo4BIWgOAmpzs/OQnheMItY1CT4yN/4//\nPNg+bRaWi4Wljb45nptmE37b8NwU/cyE16flBIFKMufZqRuFtRxoCrViYQAgJGYewoydiAgz\nAIFYhYqFk6z37MlnD80c2j/lcGETdchpiooAEEsbEBVcly7qBjW5DYwxp15TIACgtu1QO3Zj\n6DyjFojCQ/ei0tJqQRSq7btwzPmEuxgj/Y4URsphO2MRkbsdu7QY7HWbixAffQCQsjdeyd54\nNbz7UPXDn6wef8Spx8qg7rEHxuM/S0+8aNstVZuJPvdE5ej9rotuFGzMOzfMANH10fMGUn/0\ngfjuPfX/s7/pjfo2JV7YbXUU4Y2qRoQce39sIIQoAkSgrsZMDWPGToqcrQEp95ANKvW9176X\nFIm7fdgSrFSx3wNTlKevqBSKUOw2WxMAAFHN7sSJqd78XBBFemrbENQGAHB7NXn6n7BaxSiG\nPMmfuwi9bnD4mNPqyJYLM1jUKKPMRJDZLi+4KzqAKL73gfjo/dzvUVxxva5xFcT44JEhZIh9\nEAhnZznLOE1pzajPttu1Bx8MZtzOUG4semIs3L1DTzhOMfE4wAu7rc5ILTp7uROvbcWKQJKZ\nndOb1p04DFQ/LQjVwONMxDKHgfPLIRsr1sLasoawfPO1b4NLo5MBOhC2ZWY5CIg1GIVD6Nit\nV+dKTcJwOKoOAIo3X8daHYgkTYGIGqPZqy+pbdtp3GHfzibJum0eDtw4RBA4dx8SL5KfPZ2+\ndoI7LapUw313R/ccQ+U/2G8nemJi25/92cJ/+k/Btm1YqXC/b+bmxv/gD8ixIbPHc2v49/9W\nZ6wR7ZttnrncJmAQSYps53R9ZsJ9R2eDiELdqEXtbrqeFTvSiIcg7EQsIsJ6mxDh6de/W4tq\nnzz4Sbd1k0TFNRELbAEQVYzM0u/iyCb8Ii6mkF5b+l1O+qgUiIixVKvb1qpTYYdBiKTK+N8y\nVwSIxBpVcb5dnp16vfU3f6nGJymumG47ff2Veqdd/einXNfdajQ/+1k9Pt5//nnbbqvR0doj\nj1TuuWejb5TH85vxwm6rgwh7ZxvjzWhuYZWZt02NjdajTZoTO6AaB1GgCssIoDWp4QyRXG+v\ndmrx9OnFM184+oRDo5MStqAI6aofhOQ5bNLZIESyrVVJU4rXjBg1c6cleeK0LtVqatusuTKH\nAIgEAsIWwljvcRMTt4ZYk774nJ6eoVodADCKwrjSfebp8MBh7TLxYiuCWH3wweqDD2707fB4\n3h0/F+kBAGjWwunRcGokGGsMVdUZy7206CXFEPZS1xGBwrK1bKw1hofj7UJKA0KZAAGm+OYr\nTwPAE/c+7rouKi18/WMrDNq579eGIAC4fmdFAADLMXdxnBcXhNGx4xSEYFmKAtiiDuMDh4Kd\ne5zW5XY7feMVql2XeIFRbFf8JqPHs3XxHTvPhtHq5audrJvkAFCPg5F6NNpwPvslAN1+1k/z\nctqNJa/GYb0SOt+fQBJrgUpPZPrWG98BgMeGIOwaTVldAspFGBAQCGt1rA1jhtIuzhdvvVnp\n9UCrfHwyvPsecL0Vy0wjY5z0uNsBtkgKALBWQ9fJEwCq3gTDbAUJhJmEgQIMHQtorRAAReTa\nV6+wn7HzeLYy/v3v2Rj6aXF+rlOJdS0OAMCwnL/SCQIq/+iONC16aS4iWI65s/STIlAUR46v\nwWxR6zJiKyn6Pzrzk4PTB/aNue3oAADqAKNYkn4ZsimKUHgI+Y9mcS7/9U8H0enW2Atvp71O\n9KGPlmLLEag1gHCW4kBAowBAnmPV7aybWJv++megUI+OgoCggDXFm68V598Odu9zV1fVm/Hx\nR7LXTiAAmwK1Rq3DvXe7jtgqMSvL6asv2VZLNRrRwSPBttkhFPV4PO+KF3aejaHTL8KAFGE5\neKYIo0B3eoVrYZfkhbAotdbhILTMaW5cCzsRIVJACkR+8MZP+kXy+OHfA3F+AM3tZRCmRhOY\nAQGQJOlzt00Nt+EE5vRJVBrCiK1FRAy0LC/Z82f1HoemfYAo1qJlAAukRBgsA+KNh9G3G+l2\niksXqFqFskcIAFpzu1VccCvsADHas7/3g++ItaS1MANifOioayELAPm5s53vfjM/fw7jWIqs\n9Y9/N/GnfxYfudd1XY/H8654YefZGJhFAJLMsGUAICJSaB1fgAFAWK47dUUAgiHURURmFmYR\n/uZr3wKAxw7/M0TnQ66S52XaxFWHM62hcGvDwWygyFAH69OLCMhE0m07rStFbi9fEK2JSJgB\nkAKSPJOVJZjd6bKwAMI7XliIrgUl2/T1E9G+u0VY8hyUVpW496ufVR75uBpzGPIh1nR/+D2z\ntBhsH7QGud7s/uxH4Z595F5Tejye341fnvBsDIiQZTYvjBVhgNzYLLNDMAoGfEdOqgANoS4R\nmwIQkOjpN75X0fFH9zzqOksUAADphmRYERZwe3+JNArCOxNplev7ixjFGEYYxRRXqFKBMBIg\nTnpOq1KjEUxtgyRdv8dSFBBotd2lmgTgdit97WVqjqjRcT09oycmsVqnuGIX553WtUuL/Ref\nU6NXHXOoVs9OvVFcvui0rsfjeS94YefZGFBKS9dyGAoI0Fg7hH3cSqgRhAUEQESYBRFi10Pu\nAMCCSgPLqSunTy+e+fTBT9aiqusjQgCgShWKXLJMkgSSBPIc8gIrzn0KsdHkPL8q7dgiM024\ndepHBIwraHJZswsWazAMqd50WheUjh54FBRxr8Npwv0uCkcH7gl2u7U7AST8DSvd1+9SOGDw\nur1+nRzXvZk9Hs+G4oWdZ2MQgChSirAwXBgmhdU4GMJ1IY7COApwEAFBRFSJwjhyPpMgwqQU\nBcG33vweADxxz2NIaggzdlRvgIB0u5ylkiXcaWO1Ru6FXXD4mGqOSNanoqA85SxVe/Yr1+Zq\nSqupGYpiSBLJU0kTVBq1dupOXBIdeyA6/iiIQJGCtXrX7uonPova7etKNUei+x60rZX1n3Ca\ncJoG27Y7rasnJitH77Pd7nV180xPb+aILY/nTsHP2Hk2BkRUhHEYcKQFQBEWBQ8hopYIm/U4\nSQszMChWlUgP4QgYyw1NxG+9/h0AeOzI78kNQ1lusK1VFIA4BmsFAcMA+gn3uuTY8QTjSvjw\nx+25M/3FBQrCys5datL9VR9RHzhizr9Fo+MCSARSFHr/YTXp3K3XzF0sXn1Bb98BSqGIXVrM\n3ny98tBH3GapIVYf/XjvB98uLl+kKBJjuN0a+cofUcMiOrB5AAAYGElEQVRthxKDsPboxxb/\n83+UbILiCmeZXV4c/8N/o5puN3I8Hs97wQs7z8ZQjfXSaqIUEiEAiEhubNV9JwkACLFWcWyo\n9s6iQWDyPOH8h6d/fHD6wF3je9lacm8ULP0eWwOWgRAEJEtQa0gTcG9lh0rTnrvzxngYhqrp\n+DB0DTUxFT34SP76y5IkrBRNbQv2H3aeVCuSvfKCGp3AeqP8AdUa2a9/Euy5y3UTK9g2Ex+8\nh1dWbLdNUVx99BPxwSNOK5bEh49O/6//W3LiRdtaVY1mdOhIvP/gEOp6PJ53xR/FejaGRi2c\nGq8kiUlzk+Wml5qpsWqjNmy9NTRQB1Sp/ODks/28//jhzwGirtaG4CcneQbWglKABEigAyly\nztxGbG0gdv5S+sIvIIzU1DYcHeOVxfzky66PvCXp52++JkFoF6+YyxfNlTlO+hhV+JpDUkek\nr53ofOOr3O+D0mJN+suf9X7y7JBm3ZhLc0Rg+5tG/Twez8bgO3aeDWNqrFqvhlluRSSOdMX9\noNvGosLo22eeBYAnH/iSrtact5EAAN4x0C4AiMPYPt4girNvUnO03A5BpXB0onjrTTW7S8+4\n9OxVSozlyxdsf7B+a0WoWnUt3MWY9LlfiLVm7iIqJcKq1uh871vRoXu0Y7vg9LUTi//5P+qx\nSYqjPM+7P/z+2L/6k+rDH3Za1OPxvBc2+aXU8wGnsgX03LU8deKpSlD55OFPD0fVAQDEMRSF\nlC7BAMwWdQCB84itDUGKvDh3Rk9fo2kQIYyk79buBMOIanU7f1EAB8+ssSzsOsqMO+3kxItI\npNaOgDnL0BpzZc6psJMi7/3sR+H2nVRvAAABUK2+/Nf/NTp4WI2Muqvr8XjeC/4o1uMZEmcW\nzpy6cuqzRz5bCSpDK4pxFbXCKMJAQxBgpQqIQ7A72RBQaT27C643kcEyzM0lnPTt8qJAGTuB\nCAIEYtksLTitK0UmSZ+ukY8UhjZJbWvVaV2zuJi8+vK1+zcUxxRH5opb/zyPx/Ne8MLO4xkS\nX3vpawDwxL1PDLMojU1gtYHCoDUoAluoyelNGw9ApCamuN1eP3+WLKWJaedbsXnGeaabdazW\nIIowrlBzTBRxq+W0LAYRxVXJsqs/KgqMY2q4bZthaTR9fddZWIZhuO3xeN6NLXQK5vFsLE+d\neAoAHr/38WEWRaX17A7utCXPAJEqNXS/D7uBBHcf4X7fvH0Kg1DYqsltwV2HnGenBiGGERcG\nlAYAQUIREHFtO0L1RnT0WHH2tO12URNYoVqdFAbb3ApZNTFZvf94fumiXgsu4243OnAomHHr\nn+fxeN4LXth5PMMgKZJnTz57cNvB/VP7h12bFI2Mvftfu+2IcHtVrSxQXJE4wnAYg30YhPHx\nD9vdd3Gvg0FI45NDcGOmai08cKR44xUuOoAEIgJIlUqwc4/TuhgEleOPmPNv69nZciFG0qT6\n6Kddb06g0vVP/rP2d54qzp/FuCp5alutycf/F6pt0k6wx3NH4YWdxzMMnnnjmX7eH/I57AYi\n1tqzJ4sLZwMBRCxWF/X23TQxPYzaiGpqm/OUixsqNkdzazCMpTyitCbYNuu6YwcA8T33oVLp\nqy9nr7wYHb432HtX5f6HhrCaE+7eO/qVP8xefdm0VlWjER28J9jmYyc8ng8EXth5PMPgqZef\nAoAnjm0VYcdz5+3lCzQyXuQ5EUmemcvng2p9U+5tSFFwv6v3H5JeR/ICtaJqzfZ7xeWL4V7H\nDVrE6PC90eF75Yv/AsMQYHhGNnpsXH/sU0Mr5/F43iNe2Hk8w2BgdHLwkxt9Q4aCCK8sQ+Wq\nVx8GIbdWeXVJbUphl2fFuTPBrn3X5nlwlkGe/Y7fuk21JX/rdPray9xuUbUa7jsQ3XPM9Raw\nx+P5IOPf/x6Pc0qjky/c94VhGp1sLMIWia71RkZFYsyG3SCXUKUS7D0g/S7Gg+dXWCDPaM1e\nzh3Zm6+3/r+/UOMTFFdNp5O+9kq906p+7NOu63o8ng8sfjvd43HO11/+Ogzd6GQjQcQwkiK/\n9mdSFEPYY9gYSEV3H7JLC5ImACLG2KUr0ZH71Da3W6JiTPrCr/X0jBoZwyiiej3csbP7/ae9\nn5zHs5Xxws7jcU45YDdko5ONRc3ulKQHeYoiYC1322pqhsYnN/p2uSI8cKT66ceoVi/OvYVa\nx0fvrzz8UdeRYtxpp6+fuM6VUGmMYruy5LSux+P5IOOPYj0et6RF+oOTP9gYo5ONg0bGw/se\nNpcv4KXzMDqup2fU9t1AboXORoIYHToaHjhS7XUxijEMh1FUKUREEbl2DdZ90obH4/kg49//\nngHGirXy7n/Pc5NsNaOTdWhsUo+MdyZmgijWo1siQhSJ0L3FyTqq0YyPP5KfOqknp8o9Fe52\nw30HgtkdQ7sNHo/ng4YXdh7oJsWlxd6lhS6ArCTLM+O10cbmDInfEMrAia1jdHIDorRPmnIF\nYu1jn5Ikyc+cxKgCptA7dlUf/ojzpA2Px/MBxgu7rU5W2HPznX5SNCuahfupefnM4oMHp+uV\nYKNv2ibhGy9/YwsZnXiGixodb37pD/Izb9rWKlaq4b79qjmy0TfK4/FsJF7YbXWWWmm7m9Wr\nYZ7nIBAGyjIsrCZe2N0WSqOTJ489uXWMTjxDBqMoOnLvRt8Kj8fzQcEfkWx1ssJqfd3LQCnI\ncrtRt2eTseWMTjwej8ezoXhht9XRhMzX7UwIww1Sz3PLbEGjE4/H4/FsIP76vdUZa8ZZYY3h\n8o+WJcmLsbpfnrgNrBud3D1990bfFo/H4/FsCbyw2+rUK8HhPeNBQL3U9DNu97K7to+ON+ON\nvl2bgS1rdOLxeDyejcIvT3hgarQyWo/mYzDWzm6biILN6yILAACWOS8sM5e+Y1GgyI0fxxY3\nOvF4PB7P8PHCzgMAEGiqV5S1sOlVHbMkaWEtExGC5JaZpRIHdK13/23iqZef8kYnHo/H4xkm\n/ijWs7XIC2MtK0WIAAiK0BibF+a2F3pr8a03r7z5mcOf8UYnHo/H4xkaXth5thYsgnRdcw7x\nxr3g28LXXvoaeKMTj8fj8QwXL+w8Ww+54U9y+09hvdGJx+PxeDYCL+w8WwutFLOADMSdgAiD\n1rd5srA0OjkwfcAbnXg8Ho9nmPjlCc/WIgyUtSrLLRKAiIDEcRjcbmE3MDrx+7Aej+f/b+/+\nY5o62z6AX4e2p6UVsBY6GD8cIipYRJ46NwGjGIY40RlZRjTOGQW3iLrMGBe26LYMB3/NFSQG\nQ1TmnImYbTofdQZUIDDnNgYOGMbZgYhzDgQtPvw4tOf947xP3wbXUnyRQ9vv5y/v+9zn5jon\nV+9cnnN6CjC+RCvszGbzoUOHqqqqOI5LTEzMzMxUKPDuNBgP3gpWJrOYzRaGYby8GKlk7K9b\n/++LTvCAHQAAjC/RbsWWlpZevXo1Jyfngw8+uHbt2sGDB8WKBDyQVOIlZ6WsTPI0qjrCi04A\nAEAk4hR2/f39Z8+e3bhxY3R0dFRUVHZ29sWLFx88eCBKMABjy/qiEyWrFDsWAADwLOIUdkaj\ncXBwUKfTCU2dTsfz/PXr10UJBmBs/fvavwn3YQEAQAziPGPX1dUllUp9fHyEpkQi8fX17erq\nsg64devWpUuXrM3+/v6ysjJfX9/R/iGe581ms1SK74iMjOM4IpLJZGIH4gIsFgsR2fshsrIf\nygL/CvzPr/8pMZaMb1wT0eDgoJeXFz6DzuA4Dh9AZ1gslqGhIalU+pR+DNDNPHFeNTY2RkdH\nj3k88LSJs9oODAywLGvbI5PJhMJCcPPmzcLCQmvzrbfeslaBo2WxWPDhd0Ztbe2jR49eeukl\nsQNxATzPExFj51fI5k2f96+If00NnDq+QU1EAwMDtbW1Wq02Li5O7FhcABYrJ92+fbupqSk6\nOjo0NFTsWFzAE+dVSkpKVFTUmMcDT5s4hZ1cLrct44iI4zi5XG5tzp49Oz8/39rU6/VqtXr8\n4vNIp06dam1tLSnBRab/rwzKEDuEiaKzs7OgoCApKSkjA+cExszp06ePHz+elpa2evVqsWMB\nmHDEKew0Gg3Hcb29vZMmTSIis9lsMpk0Go11gFarTU5OFiU2AAAAABclzmX/iIgIlmWbm5uF\nZnNzM8MwkZGRogQDAAAA4B5EuxWbkpJSXFzs7e0tk8mKioqWLFni5+cnSjAAAAAA7oHheX7k\nUU8Bx3ElJSWVlZVeXl4JCQlZWVnDvk4BAAAAAKMiWmEHAAAAAGMLX60HAAAAcBMo7AAAAADc\nBF4H7xHMZvOhQ4eqqqo4jktMTMzMzFQoFMPG9PT0HDp0qL6+fmhoKCoqKisrKzAwkIhaWlp2\n7dplO/KLL754gl8BAffjTF7Zyx9n9gXPNGJuXLly5ZNPPhm215o1a9asWYP1CgCFnUcoLS29\nevVqTk4OwzD79u07ePDg9u3bh43Jy8uzWCy7d+9mWba0tHTPnj2FhYVyubytrU2r1W7bts06\nUqVSjW/4MEE5k1f28seZfcEzjZgbUVFRH3/8sbX5ww8/XLhwYcGCBWQ/3wA8CA/urq+vLz09\nvba2VmjW19e/8sorPT09tmPa29tXrFjR1tYmNE0m08qVK3/55Ree5w8ePJibmzvOMcPE50xe\n8Xbyx8l9wQONNjfu37+/du3as2fPCk2sVwB4xs79GY3GwcFBnU4nNHU6Hc/z169ftx2j0Wjy\n8vKsP7wo/ApqX18fEd26dSssLGx8QwYX4ExekZ38cXJf8ECjzY3PP/88ICAgNTVVaGK9AsCt\nWPfX1dUllUp9fHyEpkQi8fX17erqsh3j7e09e/Zsa/Obb75RKBQxMTFEdOvWLblcnp2d3d3d\nPWPGjE2bNuGHt4Gcyyuykz9O7gseaFS50dHRcfHixd27dwv/FyWsVwD4VqwnGBgYGPbyZ5lM\nxnGcvfE1NTVlZWVZWVmTJk0ymUzd3d0DAwNbtmx59913BwcH33vvvYcPHz79qGGicyav7OXP\naHMSPMeocuPbb78NCQnR6/VCE+sVAOGKnSeQy+XDlkWO4+Ry+T8OLi8vLyoqev3115OTk4nI\nx8entLTUx8dHKpUSUWRk5IYNG6qqqtLS0sYhcpjInMkre/nj5+fnfE6CR3F+vTKbzZWVlRkZ\nGdbLdVivAAhX7DyBRqPhOK63t1doms1mk8mk0WgeH3ny5Mn9+/dv3rw5PT3d2qlWq4VVkoiU\nSmVAQABumQE5nVf/mD/O5yR4Gudzo6mp6dGjR/Hx8badWK8AUNi5v4iICJZlm5ubhWZzczPD\nMJGRkcOGnTp16tixY7t27Vq2bJm1s6mp6bXXXrt3757QNJlMf/3119SpU8cncpjInMkre/nj\nZE6CB3I+N5qamoKCgrRarW0P1isA3Ip1f3K5PCUlpbi42NvbWyaTFRUVLVmyxM/Pj4iqq6t7\ne3uXLVvW0dFx5MiRxMREhUJRV1cn7BgWFhYZGalWqw0GQ2ZmpsViOXz4sFarXbhwoagHBBOC\nM3llL38kEom9fcHDOZNXwkij0Th9+nTbfbFeARARw/O82DHAU8dxXElJSWVlpZeXV0JCQlZW\nlvB4cn5+/r179z799NOysrKjR48O22vr1q0pKSl37949fPhwY2Pj0NBQXFxcZmamv7+/GAcB\nE86IeUVE9vLH3r4AzuQVEe3YsWPOnDkbNmyw3RfrFQAKOwAAAAA3gWfsAAAAANwECjsAAAAA\nN4HCDgAAAMBNoLADAAAAcBMo7AAAAADcBAo7AAAAADeBwg4AAADATaCwA3AN8+bNmzt3rthR\nAADAhIbCDgAAAMBNoLADAAAAcBMo7AAAAADcBAo7AFdy4sSJWbNmKRSKmJiYI0eO2G6qqalZ\nunSpr6+vSqVKSEg4c+aMddPcuXPXrVuXk5OjUqmeffbZX3/99fEeBzPExcXNnDnTNgaGYbZv\n327t2bRpk0ajMZvNRFRXV5eWljZ58mSlUhkfH3/27FkHYTg+2K6urjfeeCM0NFQul4eHh+/Y\nsePhw4fWrVevXk1LS5syZYparU5OTv7++++f7FQ4jhkAwMXwAOAK9Hq9UqmUyWTbtm0zGAx6\nvZ6ICgoKhK2nT5+WSCRhYWEfffRRfn5+dHQ0ER04cEDYGhsbGxAQEBQUtHPnzvT0dI7jHu9x\nMMP7779PRO3t7cJsb775JhHNmTPHGltwcPDatWt5nq+urlYoFOHh4Xl5eZ999ll8fDzDMEeO\nHLEXhuNDfvHFF6dMmfLhhx+WlJRs2bKFYZhVq1YJmy5dusSybFhYWG5ubkFBwcyZM729vevq\n6p7gVDiOGQDAtaCwA3ANQiV3+PBhodnX1zdr1ixfX9/e3t7BwcHg4ODAwMCuri5h66NHj3Q6\nnbe3999//83zfGxsLBH99NNP1tmG9Tieoba2loistU5kZGRISAjDMMLghoYGIvryyy95ntfp\ndFOnTu3p6RFGDg0NJScnT5482WQy/WMYDty8eZOI8vLyrD3bt29fsGCBUA7Gxsaq1Wrh6Hie\n//PPP5VK5Zo1a57gVDiOGQDAteBWLIDLCAkJWb9+vfBvhUKxdevWhw8fVldX//jjjx0dHdnZ\n2VOmTBG2KpXKXbt29fX1nT9/XujRarVCaWhl2+N4hhdeeMHf37+8vJyIOjo6bty4sXPnTp7n\nq6uriej8+fMSiSQ1NfX69euNjY2rVq3iOK6zs7Ozs7O7u3v16tU9PT1VVVX2wrAnICBAoVAU\nFxefOHFCuANrMBhqa2ulUml7e3tDQ8O6dev8/f2FwYGBgVeuXNm3b99oT4UzMQMAuBAUdgAu\nY+bMmV5e//eZnTFjBhG1trb+8ccfRDRr1izbwcItyNbWVqEZFBQ0bDbbHsczeHl5LV26tKKi\ngogqKipYlt20aZNara6srCSic+fOJSQkqNXq33//nYgMBkOAjS1bthBRW1ubvTDs8fHxOXDg\nwN27dzMyMvz9/ZOSkgoLC3t7e60HNX36dNvxMTExzzzzzGhPhTMxAwC4EKnYAQCAs+RyuW1T\nJpMRkVQq5XmeiBiGsd1qsVhsd5FKh3/YbXtGnGH58uXHjh377bffLl68OH/+/EmTJi1atKiy\nstJkMtXU1Ozdu9c6/p133nn55ZeH/S1rpfV4GA5s2LBhxYoVp06dOnfuXHl5+eXLlw0Gw88/\n/yx8S0OhUDy+y2hPhTMxAwC4EBR2AC7jzp07tk2j0UhEERERLMsSUUtLi+1WoRkaGurMzOHh\n4Y5nSE1NlUgkFRUVlZWV69atI6LFixfv2LHj66+/5jguLS2NiJ577jki4jguOTnZOsmNGzda\nWlqUSuVoD9ZkMtXX1+t0uo0bN27cuHFoaGjPnj15eXlfffXV4sWL6b8X26xyc3MfPHiwatWq\nUZ2KsY0ZAEB84j7iBwBO0uv1DMO0tLRYexYsWKDVavv7+wcGBgIDA4OCgu7fvy9s6u/vj42N\nlcvlQk9sbKxer7edbVjPiDPwPJ+YmPj8888TUXl5Of/f70xMmzZt2rRpwgCLxRIREaFSqYxG\no9BjNpuTkpKkUunt27f/MQwHLl++TET5+fnWnpMnTxJRaWkpz/OzZ88OCQnp7u4WNt29e9fP\nz+/VV18d7akYMWYAANeCK3YALkMmk61cudJgMKjVaoPBcOXKlePHjwt3GAsLCzMyMvR6fVZW\nFsuyR48ebWho2L9/v1qtdmZmlmVHnGH58uU5OTksy8bHxxNRTEyMv7+/0Wi0vtCOYZiioqIV\nK1bMnz8/Ozs7MDCwrKzs0qVLu3fvDg4OHu3BLly4MCEhYc+ePe3t7XPnzr1z505hYWFoaKhw\nTa6goCA1NXXevHmbN2+WyWTC20xyc3OdORBbYxszAID4xK4sAcAper1+5cqVe/fuDQ4OZllW\nr9efOXPGdkBFRUVSUpJKpfLx8Vm0aJHt1hGv2I04A8/z165dI6LExERrT3p6OhFduHDBdlht\nbW1qaqqfn59KpYqLiyspKXH8Rx3o7Ox8++23w8PD5XK5Vqtdv359W1ubdWtNTU1ycrJKpdJo\nNGlpaY2NjU92KhzHDADgWhie58WuLQEAAABgDOB1JwAAAABuAs/YAYAIeJ4X3lpij0QiGfbW\nEgAAGBGu2AGACL777juZQ8XFxWLHCADgevCMHQCIwGQyCb8Ga09oaKhGoxm3eAAA3AMKOwAA\nAAA3gVuxAAAAAG4ChR0AAACAm0BhBwAAAOAmUNgBAAAAuAkUdgAAAABuAoUdAAAAgJv4HyZQ\nX57wZ2JXAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred <- predict(loan_lda)\n",
    "lda_df <- cbind(loan3000, prob_default=pred$posterior[,'default'])\n",
    "\n",
    "center <- 0.5 * (loan_lda$mean[1, ] + loan_lda$mean[2, ])\n",
    "slope <- -loan_lda$scaling[1] / loan_lda$scaling[2]\n",
    "intercept = center[2] - center[1] * slope\n",
    "\n",
    "graph <- ggplot(data=lda_df, aes(x=borrower_score, y=payment_inc_ratio, color=prob_default)) +\n",
    "  geom_point(alpha=.6) +\n",
    "  scale_color_gradientn(colors=c('#ca0020', '#f7f7f7', '#0571b0')) +\n",
    "  scale_x_continuous(expand=c(0,0)) + \n",
    "  scale_y_continuous(expand=c(0,0), lim=c(0, 20)) + \n",
    "  geom_abline(slope=slope, intercept=intercept, color='darkgreen') +\n",
    "  theme_bw()\n",
    "\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logistic regression\n",
    "## Logistic Response Function and Logit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:24.026829Z",
     "iopub.status.busy": "2022-04-26T20:06:24.025820Z",
     "iopub.status.idle": "2022-04-26T20:06:24.454718Z",
     "shell.execute_reply": "2022-04-26T20:06:24.453590Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:  glm(formula = outcome ~ payment_inc_ratio + purpose_ + home_ + \n",
       "    emp_len_ + borrower_score, family = \"binomial\", data = loan_data)\n",
       "\n",
       "Coefficients:\n",
       "               (Intercept)           payment_inc_ratio  \n",
       "                   1.63809                     0.07974  \n",
       "purpose_debt_consolidation    purpose_home_improvement  \n",
       "                   0.24937                     0.40774  \n",
       "    purpose_major_purchase             purpose_medical  \n",
       "                   0.22963                     0.51048  \n",
       "             purpose_other      purpose_small_business  \n",
       "                   0.62066                     1.21526  \n",
       "                  home_OWN                   home_RENT  \n",
       "                   0.04833                     0.15732  \n",
       "         emp_len_ > 1 Year              borrower_score  \n",
       "                  -0.35673                    -4.61264  \n",
       "\n",
       "Degrees of Freedom: 45341 Total (i.e. Null);  45330 Residual\n",
       "Null Deviance:\t    62860 \n",
       "Residual Deviance: 57510 \tAIC: 57540"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "glm(formula = outcome ~ payment_inc_ratio + purpose_ + home_ + \n",
       "    emp_len_ + borrower_score, family = \"binomial\", data = loan_data)\n",
       "\n",
       "Deviance Residuals: \n",
       "     Min        1Q    Median        3Q       Max  \n",
       "-2.51951  -1.06908  -0.05853   1.07421   2.15528  \n",
       "\n",
       "Coefficients:\n",
       "                            Estimate Std. Error z value Pr(>|z|)    \n",
       "(Intercept)                 1.638092   0.073708  22.224  < 2e-16 ***\n",
       "payment_inc_ratio           0.079737   0.002487  32.058  < 2e-16 ***\n",
       "purpose_debt_consolidation  0.249373   0.027615   9.030  < 2e-16 ***\n",
       "purpose_home_improvement    0.407743   0.046615   8.747  < 2e-16 ***\n",
       "purpose_major_purchase      0.229628   0.053683   4.277 1.89e-05 ***\n",
       "purpose_medical             0.510479   0.086780   5.882 4.04e-09 ***\n",
       "purpose_other               0.620663   0.039436  15.738  < 2e-16 ***\n",
       "purpose_small_business      1.215261   0.063320  19.192  < 2e-16 ***\n",
       "home_OWN                    0.048330   0.038036   1.271    0.204    \n",
       "home_RENT                   0.157320   0.021203   7.420 1.17e-13 ***\n",
       "emp_len_ > 1 Year          -0.356731   0.052622  -6.779 1.21e-11 ***\n",
       "borrower_score             -4.612638   0.083558 -55.203  < 2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "(Dispersion parameter for binomial family taken to be 1)\n",
       "\n",
       "    Null deviance: 62857  on 45341  degrees of freedom\n",
       "Residual deviance: 57515  on 45330  degrees of freedom\n",
       "AIC: 57539\n",
       "\n",
       "Number of Fisher Scoring iterations: 4\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7oRHTvT6U0ESJz570iLz8um3C7H9zykGWUN/EhzGUDS6WeD9MN1bSl70AfOJwMS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\nudD/A19B4uQB+AVpAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "logistic_model <- glm(outcome ~ payment_inc_ratio + purpose_ + \n",
    "                        home_ + emp_len_ + borrower_score,\n",
    "                      data=loan_data, family='binomial')\n",
    "logistic_model\n",
    "summary(logistic_model)\n",
    "\n",
    "p <- seq(from=0.01, to=.99, by=.01)\n",
    "df <- data.frame(p = p,\n",
    "                 logit = log(p/(1-p)),\n",
    "                 odds = p/(1-p))\n",
    "\n",
    "graph <- ggplot(data=df, aes(x=p, y=logit)) +\n",
    "  geom_line() +\n",
    "  labs(x = 'p', y='logit(p)') +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predicted Values from Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:24.458293Z",
     "iopub.status.busy": "2022-04-26T20:06:24.457439Z",
     "iopub.status.idle": "2022-04-26T20:06:24.472654Z",
     "shell.execute_reply": "2022-04-26T20:06:24.471423Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     Min.   1st Qu.    Median      Mean   3rd Qu.      Max. \n",
       "-2.704774 -0.518825 -0.008539  0.002564  0.505061  3.509606 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred <- predict(logistic_model)\n",
    "summary(pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:24.476673Z",
     "iopub.status.busy": "2022-04-26T20:06:24.475641Z",
     "iopub.status.idle": "2022-04-26T20:06:24.492008Z",
     "shell.execute_reply": "2022-04-26T20:06:24.490724Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
       "0.06269 0.37313 0.49787 0.50000 0.62365 0.97096 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prob <- 1/(1 + exp(-pred))\n",
    "summary(prob)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interpreting the Coefficients and Odds Ratios"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:24.496143Z",
     "iopub.status.busy": "2022-04-26T20:06:24.495055Z",
     "iopub.status.idle": "2022-04-26T20:06:24.626730Z",
     "shell.execute_reply": "2022-04-26T20:06:24.625609Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GbRNHEbIIkBEpvBkPrRbnEbIIkBEpu5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\nAAkhHwIkhHwIkBDyIUBCyIcACSEf+n/qJ+hrhJvThgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph <- ggplot(data=df, aes(x=logit, y=odds)) +\n",
    "  geom_line() +\n",
    "  labs(x='log(odds ratio)', y='odds ratio') +\n",
    "  coord_cartesian(xlim=c(0, 5), ylim=c(1, 100)) +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Logistic regression with splines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:24.630705Z",
     "iopub.status.busy": "2022-04-26T20:06:24.629747Z",
     "iopub.status.idle": "2022-04-26T20:06:30.374613Z",
     "shell.execute_reply": "2022-04-26T20:06:30.371890Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Family: binomial \n",
       "Link function: logit \n",
       "\n",
       "Formula:\n",
       "outcome ~ s(payment_inc_ratio) + purpose_ + home_ + emp_len_ + \n",
       "    s(borrower_score)\n",
       "\n",
       "Estimated degrees of freedom:\n",
       "7.66 4.17  total = 21.83 \n",
       "\n",
       "UBRE score: 0.2681506     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "logistic_gam <- gam(outcome ~ s(payment_inc_ratio) + purpose_ + \n",
    "                      home_ + emp_len_ + s(borrower_score),\n",
    "                    data=loan_data, family='binomial')\n",
    "logistic_gam"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assessing the Model¶"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:30.381815Z",
     "iopub.status.busy": "2022-04-26T20:06:30.379799Z",
     "iopub.status.idle": "2022-04-26T20:06:31.816638Z",
     "shell.execute_reply": "2022-04-26T20:06:31.815504Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vh8KWos7BoNOisWRtAbh4sxaubG8zEmrFZO4LHbv3+/p9vPB2ioqCVGzxmTVrFU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z1q1b5/V6H3roITFkyfUNn6OlOGA2HD58ePTo0eQNbCIAACAASURBVACeeeYZMz8W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\nACAJgh0AAIAk/gdP45moqgsdewAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "terms <- predict(logistic_gam, type='terms')\n",
    "partial_resid <- resid(logistic_gam) + terms\n",
    "df <- data.frame(payment_inc_ratio = loan_data[, 'payment_inc_ratio'],\n",
    "                 terms = terms[, 's(payment_inc_ratio)'],\n",
    "                 partial_resid = partial_resid[, 's(payment_inc_ratio)'])\n",
    "\n",
    "graph <- ggplot(df, aes(x=payment_inc_ratio, y=partial_resid, solid = FALSE)) +\n",
    "  geom_point(shape=46, alpha=0.4) +\n",
    "  geom_line(aes(x=payment_inc_ratio, y=terms), \n",
    "            color='red', alpha=0.5, size=1.5) +\n",
    "  labs(y='Partial Residual') +\n",
    "  coord_cartesian(xlim=c(0, 25)) +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:31.821017Z",
     "iopub.status.busy": "2022-04-26T20:06:31.819998Z",
     "iopub.status.idle": "2022-04-26T20:06:32.541272Z",
     "shell.execute_reply": "2022-04-26T20:06:32.540040Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wCdcp6gJKCYZcL5qOZnxTpvYgs4zaLOs2IZlUlLTBgl/2qnysfNyCCSSVOeCkux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RYYu95Za3oHPS30ERvH8dzcHB4pJqFI0GM7Ux+F2O/z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\n01uyP+FwCEZYQUMgdkePHmWxdC7k25ZjkbTeLGGbzHQ35WJ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3665Y2e5oXdjSIQAAIABJREFU28NklsPInFGsMvFdW2Pj9enpaWqxUyTp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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(payment_inc_ratio = loan_data[, 'payment_inc_ratio'],\n",
    "                 terms = 1/(1 + exp(-terms[, 's(payment_inc_ratio)'])),\n",
    "                 partial_resid = 1/(1 + exp(-partial_resid[, 's(payment_inc_ratio)'])))\n",
    "\n",
    "graph <- ggplot(df, aes(x=payment_inc_ratio, y=partial_resid, solid = FALSE)) +\n",
    "  geom_point(shape=46, alpha=0.4) +\n",
    "  geom_line(aes(x=payment_inc_ratio, y=terms), \n",
    "            color='red', alpha=0.5, size=1.5) +\n",
    "  labs(y='Partial Residual') +\n",
    "  coord_cartesian(xlim=c(0, 25)) +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluating Classification Models\n",
    "## Confusion Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:32.545784Z",
     "iopub.status.busy": "2022-04-26T20:06:32.544920Z",
     "iopub.status.idle": "2022-04-26T20:06:33.444540Z",
     "shell.execute_reply": "2022-04-26T20:06:33.442667Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 2 × 2 of type int</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Yhat = 1</th><th scope=col>Yhat = 0</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Y = 1</th><td>14293</td><td> 8378</td></tr>\n",
       "\t<tr><th scope=row>Y = 0</th><td> 8051</td><td>14620</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 2 × 2 of type int\n",
       "\\begin{tabular}{r|ll}\n",
       "  & Yhat = 1 & Yhat = 0\\\\\n",
       "\\hline\n",
       "\tY = 1 & 14293 &  8378\\\\\n",
       "\tY = 0 &  8051 & 14620\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 2 × 2 of type int\n",
       "\n",
       "| <!--/--> | Yhat = 1 | Yhat = 0 |\n",
       "|---|---|---|\n",
       "| Y = 1 | 14293 |  8378 |\n",
       "| Y = 0 |  8051 | 14620 |\n",
       "\n"
      ],
      "text/plain": [
       "      Yhat = 1 Yhat = 0\n",
       "Y = 1 14293     8378   \n",
       "Y = 0  8051    14620   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Confusion matrix\n",
    "pred <- predict(logistic_gam, newdata=loan_data)\n",
    "pred_y <- as.numeric(pred > 0)\n",
    "true_y <- as.numeric(loan_data$outcome=='default')\n",
    "true_pos <- (true_y==1) & (pred_y==1)\n",
    "true_neg <- (true_y==0) & (pred_y==0)\n",
    "false_pos <- (true_y==0) & (pred_y==1)\n",
    "false_neg <- (true_y==1) & (pred_y==0)\n",
    "conf_mat <- matrix(c(sum(true_pos), sum(false_pos),\n",
    "                     sum(false_neg), sum(true_neg)), 2, 2)\n",
    "colnames(conf_mat) <- c('Yhat = 1', 'Yhat = 0')\n",
    "rownames(conf_mat) <- c('Y = 1', 'Y = 0')\n",
    "conf_mat"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Precision, Recall, and Specificity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:33.449020Z",
     "iopub.status.busy": "2022-04-26T20:06:33.447812Z",
     "iopub.status.idle": "2022-04-26T20:06:33.470861Z",
     "shell.execute_reply": "2022-04-26T20:06:33.469440Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.639679556032939"
      ],
      "text/latex": [
       "0.639679556032939"
      ],
      "text/markdown": [
       "0.639679556032939"
      ],
      "text/plain": [
       "[1] 0.6396796"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.630453001632041"
      ],
      "text/latex": [
       "0.630453001632041"
      ],
      "text/markdown": [
       "0.630453001632041"
      ],
      "text/plain": [
       "[1] 0.630453"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.64487671474571"
      ],
      "text/latex": [
       "0.64487671474571"
      ],
      "text/markdown": [
       "0.64487671474571"
      ],
      "text/plain": [
       "[1] 0.6448767"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# precision\n",
    "conf_mat[1, 1] / sum(conf_mat[,1])\n",
    "# recall\n",
    "conf_mat[1, 1] / sum(conf_mat[1,])\n",
    "# specificity\n",
    "conf_mat[2, 2] / sum(conf_mat[2,])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ROC Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:33.475563Z",
     "iopub.status.busy": "2022-04-26T20:06:33.474345Z",
     "iopub.status.idle": "2022-04-26T20:06:33.831156Z",
     "shell.execute_reply": "2022-04-26T20:06:33.830090Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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y7TmeB1LBa9956cTgWwkJlfo9gBgEl2u6KjtXChypfXsmVc+opbQ6vzexwBAGDM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\nAOSotWvVvbtcLs2YQauDmzkceuUVHT5sOgeQcxixA5Bzdu5UdLQ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gBk6nJk5UerrpHAC8DL+RgBuWmKjhwxUaqq++UvHiptPAJ40dq+7d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\nT8YCAADwsiAsdvv2qWJFlSiR1+nvuktffaXbb/d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wlJSUdevWhYWFPfzwwwsWLPj777+HDx++Z8+eT/TUOrwAAAK/SURBVD/9NOsJWRUt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\nAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "idx <- order(-pred)\n",
    "recall <- cumsum(true_y[idx] == 1) / sum(true_y == 1)\n",
    "specificity <- (sum(true_y == 0) - cumsum(true_y[idx] == 0)) / sum(true_y == 0)\n",
    "roc_df <- data.frame(recall = recall, specificity = specificity)\n",
    "\n",
    "graph <- ggplot(roc_df, aes(x=specificity, y=recall)) +\n",
    "  geom_line(color='blue') + \n",
    "  scale_x_reverse(expand=c(0, 0)) +\n",
    "  scale_y_continuous(expand=c(0, 0)) + \n",
    "  geom_line(data=data.frame(x=(0:100) / 100), aes(x=x, y=1-x),\n",
    "            linetype='dotted', color='red') +\n",
    "  theme_bw() + theme(plot.margin=unit(c(5.5, 10, 5.5, 5.5), \"points\"))\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## AUC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:33.834763Z",
     "iopub.status.busy": "2022-04-26T20:06:33.833901Z",
     "iopub.status.idle": "2022-04-26T20:06:33.851833Z",
     "shell.execute_reply": "2022-04-26T20:06:33.850735Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.692623197044616"
      ],
      "text/latex": [
       "0.692623197044616"
      ],
      "text/markdown": [
       "0.692623197044616"
      ],
      "text/plain": [
       "[1] 0.6926232"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>recall</th><th scope=col>specificity</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>4.410921e-05</td><td>1.0000000</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>8.821843e-05</td><td>1.0000000</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>8.821843e-05</td><td>0.9999559</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>1.323276e-04</td><td>0.9999559</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>1.764369e-04</td><td>0.9999559</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>2.205461e-04</td><td>0.9999559</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       "  & recall & specificity\\\\\n",
       "  & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t1 & 4.410921e-05 & 1.0000000\\\\\n",
       "\t2 & 8.821843e-05 & 1.0000000\\\\\n",
       "\t3 & 8.821843e-05 & 0.9999559\\\\\n",
       "\t4 & 1.323276e-04 & 0.9999559\\\\\n",
       "\t5 & 1.764369e-04 & 0.9999559\\\\\n",
       "\t6 & 2.205461e-04 & 0.9999559\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 2\n",
       "\n",
       "| <!--/--> | recall &lt;dbl&gt; | specificity &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| 1 | 4.410921e-05 | 1.0000000 |\n",
       "| 2 | 8.821843e-05 | 1.0000000 |\n",
       "| 3 | 8.821843e-05 | 0.9999559 |\n",
       "| 4 | 1.323276e-04 | 0.9999559 |\n",
       "| 5 | 1.764369e-04 | 0.9999559 |\n",
       "| 6 | 2.205461e-04 | 0.9999559 |\n",
       "\n"
      ],
      "text/plain": [
       "  recall       specificity\n",
       "1 4.410921e-05 1.0000000  \n",
       "2 8.821843e-05 1.0000000  \n",
       "3 8.821843e-05 0.9999559  \n",
       "4 1.323276e-04 0.9999559  \n",
       "5 1.764369e-04 0.9999559  \n",
       "6 2.205461e-04 0.9999559  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sum(roc_df$recall[-1] * diff(1-roc_df$specificity))\n",
    "head(roc_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:33.855729Z",
     "iopub.status.busy": "2022-04-26T20:06:33.854788Z",
     "iopub.status.idle": "2022-04-26T20:06:34.249982Z",
     "shell.execute_reply": "2022-04-26T20:06:34.248916Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Xd/7nOfy25pbm7+zW9+c8wxx1x33XUFGx4Mm6oDoGLlGnZPPfXUCSec0Oeekng8\nfvzxx//xj38swMBgJFQdAJUs17Crqanp6Ojov/311193KygAQCnINexmzpz5wx/+8J133um9\n8c9//vPSpUuPPPLIAgwMhs1yHQAVLtewu+yyyzZt2vT+97//8ssvj6JozZo1Z5999oEHHtja\n2nrJJZcUcoQAAOQk17D7wAc+8Jvf/KaxsXHx4sVRFF177bXXX3/97rvvvnr16sMOO6yQI4Sc\nWK4DgFxvj3v22WePOOKIZ5999qWXXvrTn/6UTqf33nvvlpaWWCxW0PFBLlQdAES5h93s2bNn\nzJhx++23v/e9733ve99b0DEBADACuV6Kfeedd3L5zbAw+izXAUBWrmF31lln/fSnP/3DH/5Q\n0NHAcKk6AOiR66XYTZs2JZPJQw89dNKkSbvvvnufn133+OOPF2BssAOqDgB6yzXsnnvuuT32\n2GOPPfbIPuzu7i7YkCAnqg4A+sg17J566qmCjgOGRdUBQH+53mMHAECJE3aUH8t1ADAgYQcA\nEIhc77GDUmCtDgCGYMUOACAQwo6yYbkOAIYm7CgPqg4AdkjYUQZUHQDkQtgBAARC2FHqLNcB\nQI6EHSVN1QFA7oQdpUvVAcCwCDtKlKoDgOESdgAAgRB2lCLLdQAwAsKOkqPqAGBkhB2lRdUB\nwIgJOwCAQAg7SojlOgDYGcKOUqHqAGAnCTsAgEAIO0qC5ToA2HnCDgAgEMKO4rNcBwB5Iewo\nMlUHAPki7AAAAiHsKCbLdQCQR8KOolF1AJBfwo7iUHUAkHfCDgAgEMKOIrBcBwCFIOwYbaoO\nAApE2DGqVB0AFI6wAwAIhLBj9FiuA4CCEnaMElUHAIUm7AAAAiHsGA2W6wBgFAg7Ck7VAcDo\nEHYAAIEQdhSW5ToAGDXCjgJSdQAwmoQdhaLqAGCUCTsKQtUBwOgTdgAAgRB2AACBEHbkn+uw\nAFAUwo48U3UAUCzCjnxSdQBQRMIOACAQwo68sVwHAMUl7AAAAiHsyA/LdQBQdMKOPFB1AFAK\nhB0AQCCEHTvLch0AlAhhBwAQCGHHTrFcBwClQ9gBAARC2DFylusAoKQIO0ZI1QFAqRF2AACB\nEHYAAIEQdoyE67AAUIKEHcOm6gCgNAk7AIBACDuGx3IdAJQsYQcAEAhhxzBYrgOAUibsAAAC\nIezIleU6AChxwg4AIBDCjpxYrgOA0ifs2DFVBwBlQdixA6oOAMpFdbEHkE+dnXlHGzMAABzA\nSURBVJ3bt28v9ihKTnd3d3t7e1XVCCO+oyOe3/GUjlQqFUVRV1dXLBYr9lhKTvbkdHd3F3sg\nJce0GUIqlUqn06ZNf9lpk0wmnZz+stMme4roLZ1OZzKZ4R4VVNjFYrF4PNgKGbHsaRlZ2K1Z\nM+IgLAPZ15FYLBbyJzlSsVjMmRlQOp2OoqiqqkrY9ZdKpaqqqkyb/rzaDCGdTps2AxrZi0xQ\nYVdTU1NXV1fsUZScZDJZU1NTXT3sr/Xq1VFNTSFGVCqy3yMmEgnfD/SXSqWqq6tHMG2Clw27\n6upq06a/dDpt2gwo+2rj5AwonU7H4/FEIlHsgZSc7DfYwz1KIAMABELYMTDvmQCAsiPsGICq\nA4ByJOwAAAIh7AAAAiHs6Mt1WAAoU8IOACAQwo6/Y7kOAMqXsAMACISw439ZrgOAsibs+BtV\nBwDlTtgBAARC2BFFlusAIAjCDlUHAIEQdgAAgRB2lc5yHQAEQ9hVNFUHACERdpVL1QFAYIQd\nAEAghF2FslwHAOERdgAAgRB2AACBEHaVyHVYAAiSsKs4qg4AQiXsAAACIewAAAIh7CqL67AA\nEDBhBwAQCGFXQSzXAUDYhF2lUHUAEDxhBwAQCGFXEe66K1bsIQAABSfsAAACIezCd/fd1cUe\nAgAwGoQdAEAghF3gvBkWACqHsAMACISwC5nlOgCoKMIOACAQwi5YlusAoNIIOwCAQAi7MFmu\nA4AKJOwCpOoAoDIJOwCAQAi70FiuA4CKJewAAAIh7IJiuQ4AKpmwAwAIhLALh+U6AKhwwi4Q\nqg4AEHYAAIEQdiGwXAcARMIOACAYwq7sWa4DALKEXXlTdQBAD2FXxlQdANCbsAMACISwAwAI\nhLArV67DAgB9CDsAgEAIu7JkuQ4A6E/YAQAEQtiVH8t1AMCAhB0AQCCEXZmxXAcADEbYAQAE\nQtiVE8t1AMAQhB0AQCCEXdmwXAcADE3YAQAEQtiVB8t1AMAOCbsyoOoAgFwIOwCAQAg7AIBA\nCLtS5zosAJAjYQcAEAhhV9Is1wEAuRN2AACBEHaly3IdADAswq5EqToAYLiEHQBAIIQdAEAg\nhF0pch0WABgBYQcAEAhhV3Is1wEAIyPsSouqAwBGTNgBAARC2JUQy3UAwM4QdgAAgRB2pcJy\nHQCwk6oL/RekUqkVK1asXbs2mUzOnDlz/vz5dXV1ffZ56623VqxY8dRTT3V3d0+fPn3BggW7\n7bZbFEUvvvjiBRdc0HvPm2++edy4cYUeMwBAOSp42K1ateqxxx5btGhRLBa79tprly9ffs45\n5/TZ56qrrkqn0xdffHFNTc2qVau+/e1vL1mypLa29tVXX500adLZZ5/ds+eYMWMKPWAAgDJV\n2EuxHR0da9asOe200/bff//p06cvXLjwvvvue/vtt3vv89prr73wwgtnn312c3PzlClTzjvv\nvM2bN7/wwgtRFG3YsGHq1KkH9RKPxws64GJxHRYA2HmFDbv169d3dXW1tLRkH7a0tGQymZde\neqn3Pk1NTVddddXkyZOzD2OxWBRF7e3tURRt2LBhr732KugIAQCCUdhLsVu3bq2urm5sbMw+\njMfj48aN27p1a+996uvrDzjggJ6Hv/zlL+vq6g488MAoijZs2FBbW7tw4cJt27btt99+8+bN\n6+m/KIoef/zxxYsX9zzs7u5ua2t76623CvoZFcKvf50o6POn0+lUKpUtZnpLp9NRFLW3tzs5\n/Zk2gzFthpBOp7u7u52Z/rLTpqOjw8npLztturq6ij2QkpNKpbIzZ1gKG3adnZ01NTW9tyQS\niWQyOdj+Dz300G233XbWWWeNHTu2tbV127ZtnZ2dZ555Znd396233nrRRRctXbq0580Tra2t\n2Su2WdOmTctOjgJ9LoWTShX8vcmZTKbQf0X5GsE/mwph2gzBtBmMaTME02Ywps1gRnBmCht2\ntbW1fTIumUzW1tYOuPO99967dOnSL33pS7NmzYqiqLGxcdWqVY2NjdXV1VEUNTc3n3LKKWvX\nrp07d252/6OPPvrxxx/vOXzevHnjxo3bddddC/XJFMbq1VGh3+bb3t5eU1MT6u2JO6Ojo6Or\nq2vMmDFOTn/t7e2JRCL7r4/eTJshdHR0VFdXmzb9ZadNQ0ODk9NfR0dHPB5PJAp78aocxePx\nEbzOFHaGNTU1JZPJtra2sWPHRlGUSqVaW1ubmpr673n77bfffPPNX/nKV+bMmdOzccKECT1/\nbmhomDhxYp/LuAAA9CjsRcBp06bV1NSsW7cu+3DdunWxWKy5ubnPbnfcccdPf/rTCy64oHfV\nPf/88yeccMKWLVuyD1tbWzdv3jxlypSCDhgAoHwV/FLs7Nmzly1bVl9fn0gkli5deswxx4wf\nPz6KogcffLCtrW3OnDmbNm368Y9/PHPmzLq6uieeeCJ74F577dXc3DxhwoTFixfPnz8/nU6v\nXLly0qRJRx11VEEHPMr8lBMAII8KfrH/1FNPTaVSV1xxRVVV1YwZMxYsWJDd/tBDD23ZsmXO\nnDkPP/xwKpV64IEHHnjggZ6jzjrrrNmzZ1966aUrV6781re+1d3dffDBB5977rluagEAGEzB\nwy6RSJxxxhlnnHFGn+0XXnhh9g+f+9znPve5zw147G677bZo0aLCjg8AIBQF/0EbDMZ1WAAg\nv4Rdcag6ACDvhB0AQCCEXRFYrgMACkHYAQAEQtgBAARC2I0212EBgAIRdgAAgRB2o8pyHQBQ\nOMIOACAQwg4AIBDCbvS4DgsAFJSwAwAIhLAbJZbrAIBCE3YAAIEQdgAAgRB2o8F1WABgFAg7\nAIBACDsAgEAIu4JzHRYAGB3CDgAgEMKusCzXAQCjRtgBAARC2BWQ5ToAYDQJOwCAQAi7QrFc\nBwCMMmEHABAIYQcAEAhhVxCuwwIAo0/YAQAEQtgBAARC2AEABELY5Z8b7ACAohB2AACBEHZ5\nZrkOACgWYQcAEAhhBwAQCGEHABAIYZdPbrADAIpI2AEABELY5Y3lOgCguIQdAEAghF1+WK4D\nAIpO2AEABELYAQAEQtgBAARC2OWBG+wAgFIg7AAAAiHsAAACIex2luuwAECJEHYAAIEQdjvF\nch0AUDqEHQBAIIQdAEAghN3IuQ4LAJQUYQcAEAhhBwAQCGE3Qq7DAgClRtgBAARC2AEABELY\njYTrsABACRJ2AACBEHbDZrkOAChNwg4AIBDCbngs1wEAJUvYAQAEQtgBAARC2A2D67AAQCkT\ndgAAgRB2AACBEHYAAIEQdrlygx0AUOKEHQBAIIQdAEAghF1OXIcFAEqfsAMACISw2zHLdQBA\nWRB2AACBEHYAAIEQdjvgOiwAUC6EHQBAIIQdAEAghN1QXIcFAMqIsAMACISwAwAIhLAblOuw\nAEB5EXYAAIEQdgOzXAcAlB1hBwAQiOpiDyCf0ul0d3f3zj/PXXfFdv5JSkcmk0mn08UeRSnK\nnhYnZ0DZaZNKpYo9kJKTyWQi02YQ6XTatBlQz7RxcvrzapNf4YRdJpPp7Oxsb2/f+afq6grn\ntERRlE6nk8lkLBZUreZF9v/mrq6uqipL132lUqlMJuOltr/sOfFvakDZVxvTpr+eaePk9JdK\npbLfEhR7ICVnZKclnIKJxWL19fWNjY07+TyrV0f19XkZUalob2+vqamJx+PFHkjJ6ejo6Orq\nqqurc3L6a29vTyQS1dXhvETkS3ba1NbWmjb9dXR0VFdXmzb99UwbJ6e/jo6OeDyeSCSKPZCS\nU1VVNYJ1BwsVAACBEHYAAIEQdn/HTzkBAMqXsAMACISwAwAIhLD7X67DAgBlTdgBAARC2AEA\nBELY/Y3rsABAuRN2AACBEHYAAIEQdlHkOiwAEARhBwAQCGEHABAIYQcAEAhh5wY7ACAQwg4A\nIBDCDgAgEJUedq7DAgDBqPSwAwAIhrADAAhERYed67AAQEgqOuwAAEIi7AAAAlG5Yec6LAAQ\nmMoNOwCAwAg7AIBAVGjYuQ4LAISnQsMOACA8wg4AIBCVGHauwwIAQarEsAMACFLFhZ3lOgAg\nVBUXdgAAoRJ2AACBEHYAAIEQdgAAgaissPPOCQAgYJUVdgAAARN2AACBqKCwcx0WAAhbBYUd\nAEDYhB0AQCAqJexchwUAglcpYQcAEDxhBwAQiIoIO9dhAYBKUBFhBwBQCYQdAEAghB0AQCCE\nHQBAIMIPO++cAAAqRPhhBwBQIYQdAEAghB0AQCACDzs32AEAlSPwsAMAqBzCDgAgECGHneuw\nAEBFCTnsAAAqirADAAiEsAMACISwAwAIRLBh550TAEClCTbsAAAqjbADAAiEsAMACISwAwAI\nRJhh550TAEAFCjPsAAAqkLADAAiEsAMACISwAwAIRIBh550TAEBlCjDsAAAqk7ADAAiEsAMA\nCISwAwAIhLADAAhEaGHnLbEAQMUKLewAACqWsAMACISwAwAIhLADAAhEUGF3//2xYg8BAKBo\nggo7AIBKJuwAAAIh7AAAAiHsAAACIewAAAJRXei/IJVKrVixYu3atclkcubMmfPnz6+rq8tx\nn1yOBQAgq+ArdqtWrXrssccWLVp0ySWXPPPMM8uXL899n1yOBQAgq7Bh19HRsWbNmtNOO23/\n/fefPn36woUL77vvvrfffjuXfXI5FgCAHoUNu/Xr13d1dbW0tGQftrS0ZDKZl156KZd9cjkW\nAIAehb3HbuvWrdXV1Y2NjdmH8Xh83LhxW7duzWWfzs7OoY/dsGHDb3/7256Hb76Z/D//5/9r\naNiloJ9ROUqnU7FYVSzm13L0lU6n0ulMPB53cvozbQZj2gzBtBmMaTOEdDoVi8ViMe/m7Gvj\nxmcymaOHe1Rhw66zs7Ompqb3lkQikUwmc9lnh8e+/PLLS5Ys6Xk4ffr0Qw+d0NDQkM9PIAjp\ndLqqyj+YATz33HObNm068sgjGxvHFnssJce0Gcy6des2btx4xBFHjB8/vthjKTmmzWD++Mc/\n/vnPfz7ssMMmTJhQ7LGUnHQ6HYvFJG9/u+wy+Yknnjj00EOnTZuW+1GFDbva2to+GZdMJmtr\na3PZZ4fHHnDAAVdffXX2z7feeuuTTz555ZVXTp48Oc+fA+F6+eWXn3nmmUWLFjU3Nxd7LJSN\nf//3f3/mmWfOO++8nhtFYIeuv/76O+64Y+HChYccckixx0LZWL58+S9+8YtPfvKTJRR2TU1N\nyWSyra1t7NixURSlUqnW1tampqZc9mloaBj62EmTJs2aNSv757Vr1z755JMF/VwAAEpcYdfM\np02bVlNTs27duuzDdevWxWKxPqsjg+2Ty7EAAPQo+KXY2bNnL1u2rL6+PpFILF269Jhjjsne\nmPLggw+2tbXNmTNniH0G2w4AQH+xTCZT0L8gmUz+6Ec/euCBB6qqqmbMmLFgwYLsWyKuvvrq\nLVu2/OAHPxhin8G2AwDQX8HDDgCA0eF96QAAgRB2AACBKOybJ/Lryiuv3G+//Y4//vj+H0ql\nUitWrFi7dm0ymZw5c+b8+fPr6uqG2E7wdvilf/TRR6+88so+R5144oknnnjiiy++eMEFF/Te\nfvPNN48bN67gg6bYcnnFGGx6eLWpWLl86d96660VK1Y89dRT3d3d06dPX7BgwW677RYNPp1G\nb/QUSS7TZmRtUx732KXT6R/+8Id33XXXl7/85QHDbsWKFY888sjXv/71WCx27bXXtrS0nHPO\nOUNsJ3g7/NK//fbbr7zySs/D3//+9/fcc8/3v//9vffe+9e//vVtt9129tln93y0paUlHo+P\n2uApllxeMQabHl5tKlYuX/pvfvOb6XT69NNPr6mpWbVq1WuvvbZkyZLa2lqvNhUrl2kzwrbJ\nlLzXXnvt/PPPP/nkk0866aTbbrut/w7t7e2f/exnH3744ezDp5566pOf/ORbb7012PbRGzpF\nMtwv/ZtvvvmFL3xhzZo12YfLly+//PLLR2OglJIcp82A08OrTcXK5Uu/cePG44477tVXX80+\nbG1t/cQnPvHkk09mvNpUqlymzYjbpgzusXvhhRemTp163XXXDfZD7NavX9/V1dXz631aWloy\nmcxLL7002PZRGjfFM9wv/U033TRx4sRjjz02+3DDhg177bXXaAyUUpLjtBlweni1qVi5fOmb\nmpquuuqqnt94mf2lqO3t7ZFXm0qVy7QZcduUwT12s2bN6vnVYQPaunVrdXV1Y2Nj9mE8Hh83\nbtzWrVs7OzsH3F7wEVNsg02JAXfetGnTfffdd/HFF/f8CuoNGzbU1tYuXLhw27Zt++2337x5\n8/wO4kqQ47QZcHoMa8oRkly+9PX19QcccEDPw1/+8pd1dXUHHnhg5NWmUuUybUbcNmWwYrdD\nnZ2dfX5wcSKRSCaTg20f3dFRBMP60t9555177rlnz2/mbm1t3bZtW2dn55lnnvnNb36zq6vr\noosueueddwo+aIotl2kz2PTwalOxhvulf+ihh2677bYFCxaMHTvWq03FymXajLhtymDFbodq\na2v7nI5kMllbWzvY9tEdHUWQ+5c+lUo98MADn//853uW6xobG1etWtXY2FhdXR1FUXNz8ymn\nnLJ27dq5c+eOwsgpolymzWDTY/z48V5tKtOw/qO59957ly5d+qUvfSl7GcqrTcXKZdqMuG1C\nWLFrampKJpNtbW3Zh6lUqrW1tampabDtxRspoyT3L/3zzz+/ffv2I488svfGCRMmZF9noyhq\naGiYOHGia2qVIMdpM+D08GpTsXL/0t9+++3XX3/96aef/tnPfrZno1ebypTLtBlx24QQdtOm\nTaupqVm3bl324bp162KxWHNz82DbizdSRknuX/rnn39+9913nzRpUu8tJ5xwwpYtW7IPW1tb\nN2/ePGXKlFEYNsWVy7QZbHp4talYOX7p77jjjp/+9KcXXHDBnDlzejZ6talYuUybEbdNGV+K\nffDBB9va2ubMmVNbWzt79uxly5bV19cnEomlS5cec8wx2bfQDradsA0xJXqmTXbP9evX77vv\nvr2PbW5unjBhwuLFi+fPn59Op1euXDlp0qSjjjqqCJ8GoyuXaTPY9IjH415tKlMu02bTpk0/\n/vGPZ86cWVdX98QTT2QP3GuvvbzaVKxcps2I26Y8fkBx1llnnfWRj3yk5wcUX3311Vu2bPnB\nD34QRVEymfzRj370wAMPVFVVzZgxY8GCBdlbCwfbTvAG+9L3njZRFJ133nnvf//7TznllN7H\nvv766ytXrnzuuee6u7sPPvjg+fPn77rrrqP/KTD6cpk2g00PrzYVa4fT5rbbbvvJT37S56iz\nzjpr9uzZXm0qVi6vNiNrm3IKOwAAhhDCPXYAAETCDgAgGMIOACAQwg4AIBDCDgAgEMIOACAQ\nwg4AIBDCDmB4jjjiiJaWlp6H11xzze67797Q0HDWWWf1+VCOz/CXv/zl3XffLchYgQoj7ACG\np6mpqefXAzz++OMXXHDB+PHjv/KVrxx99NG9P5TjM/zqV7963/ve9+abbxZwxEDFKOPfFQtQ\nFHfddVfPn5955pkoipYuXfrRj340iqLPfvazw32G3//+9++8806+xwhUKCt2ACPX1dUVRVFT\nU1OxBwIQRcIOKHdbt249+eSTJ0+eXFtbO3Xq1PPOO69nAezQQw89/vjjr7322n322ae+vv7A\nAw+86aabeh/7xBNPzJ07d5dddmloaDjyyCPXrFnT+6OPPfbY3Llz3/Oe90yYMGHWrFmPPPJI\ndnvPHXItLS1nnHFGFEUHH3xwLBZra2vrc/PcDp/h+OOPv/TSS6Momjx58rHHHnvRRRfFYrE/\n/OEPvYdx+OGHH3TQQXk9Z0CwhB1Q3ubOnbt69er58+ffcMMNH//4x//jP/7j5JNP7vnomjVr\n/u3f/u3aa699+umnZ8+effLJJy9ZsiT7od/97nczZsxYt27dhRdeeNVVV8Visblz565atSr7\n0fvvv/+oo4569tlnv/GNb3z3u9997bXXPvrRjz755JO9/+obbrjhzDPPjKLouuuuu/POO+vr\n63t/NJdnWLRo0YknnhhF0Y9//OPvfve7X/rSl6Io+tnPftazw/r16x977LEvfvGLeTxjQMgy\nAGXr5ZdfjqLoqquu6tlyzjnnfOhDH0omk5lM5pBDDomi6P777+/56Ny5cxsbG7dv357JZFpa\nWqZMmfLWW29lP9Td3T1r1qxddtmltbU1k8kcdNBBEyZM+Otf/5r96F/+8peGhoYTTzwxk8kc\nfvjhBxxwQHb7jTfeGEXRk08+mX3Y+0M5PsMll1wSRdHGjRuzDz/wgQ/stdde6XQ6+/Cyyy6L\nxWIbNmzI40kDAmbFDihjEydOrKurW7Zs2c9//vPsFdjFixc//PDD1dV/e2fYvvvu++EPf7hn\n/y9+8Yutra0PPPDASy+99Nxzz33qU59KJpNvvPHGG2+8sW3bts985jNvvfXW2rVrN27c+PTT\nT5900kk9713dbbfdHn300WuvvTbHgY34GU466aQNGzY8/PDD2Ye33HLLP//zP0+ePDnnUwJU\nNGEHlLHGxsYbb7zx9ddf//znP7/rrrseffTRS5YsaWtr69lhn3326b3/XnvtFUXRK6+88qc/\n/SmKosWLF0/sJXtd9dVXX33llVeiKNp33317H3vggQf+wz/8Q44DG/EznHjiifF4PHs19umn\nn163bp3rsEDu/LgToLydcsopxx133B133PGrX/3q3nvvvf/++xcvXvyHP/xh/PjxURSl0+ne\nO2cymSiKqqurs9u//vWvf/zjH+/zhO973/uy2VdXVzfiUaVSqZE9w2677TZr1qzbbrtt8eLF\nt9xyS01NzfHHHz/iYQCVxoodUMZaW1sffPDBqqqq00477bbbbvvrX/+6aNGil19++b/+67+y\nO2QTrcfzzz8fRVFzc/Pee+8dRVEymZzVy5QpU9rb2xsaGqZMmdL/2Msvv/z888/PcWA78wwn\nnXTS5s2bH3300TvuuOPjH//4hAkTcvxLAYQdUMaeeOKJf/7nf16+fHn2YXV1dfYNE/F4PLvl\nlVde+cUvfpH987vvvnvDDTfsvvvuM2fObGlpmTZt2sqVK//85z9nP5pOp7/yla985jOfaW9v\nnzp16gEHHHDLLbe89dZb2Y9u3rz5+9//fvYCay5yf4bsUJPJZM+WT3/602PGjLn++utffPFF\n12GBYXEpFihjRx111IwZM7797W9v3Ljxn/7pn/7v//2/S5YsmTx58qc+9ansDrW1tV/4whfO\nOeecf/zHf1y5cuWzzz7785//PPvWiqVLlx533HGHHXbYwoULd9ttt9tuu+23v/3txRdfvMce\ne0RRdN111x177LGHHnro6aefnkgkbrzxxkwmc/nll+c+thyfYeLEiVEULViw4F/+5V++/vWv\nR1E0ZsyYT3/60zfffPP48ePnzp2blxMFVIoivysXYOe88cYbX/va16ZOnVpbWztp0qQvf/nL\nr776avZDhxxyyEEHHfSzn/1s6tSp9fX1Rx555D333NP72IcffvjYY48dP378mDFjDj744B/9\n6Ee9P/rQQw/NmjVrzJgxTU1Nc+fOfe6557Lbc/xxJzk+w7Zt22bNmlVbW3vQQQf1HPjrX/86\niqLTTjstX2cJqBCxTCZT7LYEKIhDDz20u7v7qaeeKvZAhu3ee+/92Mc+dt999x199NHFHgtQ\nTtxjB1Byli5dus8++3zkIx8p9kCAMuMeO4BSkU6n//Vf/3XTpk0PP/zw8uXLY7FYsUcElBlh\nB1Aqqqqq1q9f/8c//vH888+fP39+sYcDlB/32AEABMI9dgAAgRB2AACBEHYAAIEQdgAAgRB2\nAACBEHYAAIEQdgAAgfj/Ac88LhmTuaNUAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph <- ggplot(roc_df, aes(specificity)) +\n",
    "  geom_ribbon(aes(ymin=0, ymax=recall), fill='blue', alpha=.3) +\n",
    "  scale_x_reverse(expand=c(0, 0)) +\n",
    "  scale_y_continuous(expand=c(0, 0)) +\n",
    "  labs(y='recall') +\n",
    "  theme_bw() + theme(plot.margin=unit(c(5.5, 10, 5.5, 5.5), \"points\"))\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Strategies for Imbalanced Data\n",
    "## Undersampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:34.253727Z",
     "iopub.status.busy": "2022-04-26T20:06:34.252748Z",
     "iopub.status.idle": "2022-04-26T20:06:34.584682Z",
     "shell.execute_reply": "2022-04-26T20:06:34.583129Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.188945469092485"
      ],
      "text/latex": [
       "0.188945469092485"
      ],
      "text/markdown": [
       "0.188945469092485"
      ],
      "text/plain": [
       "[1] 0.1889455"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.00394209372682041"
      ],
      "text/latex": [
       "0.00394209372682041"
      ],
      "text/markdown": [
       "0.00394209372682041"
      ],
      "text/plain": [
       "[1] 0.003942094"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "47.9302325581395"
      ],
      "text/latex": [
       "47.9302325581395"
      ],
      "text/markdown": [
       "47.9302325581395"
      ],
      "text/plain": [
       "[1] 47.93023"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean(full_train_set$outcome=='default')\n",
    "\n",
    "full_model <- glm(outcome ~ payment_inc_ratio + purpose_ + home_ + \n",
    "                            emp_len_+ dti + revol_bal + revol_util,\n",
    "                  data=full_train_set, family='binomial')\n",
    "pred <- predict(full_model)\n",
    "mean(pred > 0)\n",
    "\n",
    " mean(full_train_set$outcome=='default') / mean(pred > 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Oversampling and Up/Down Weighting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:34.589080Z",
     "iopub.status.busy": "2022-04-26T20:06:34.587906Z",
     "iopub.status.idle": "2022-04-26T20:06:35.059214Z",
     "shell.execute_reply": "2022-04-26T20:06:35.057512Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.576720811421237"
      ],
      "text/latex": [
       "0.576720811421237"
      ],
      "text/markdown": [
       "0.576720811421237"
      ],
      "text/plain": [
       "[1] 0.5767208"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wt <- ifelse(full_train_set$outcome=='default', \n",
    "             1 / mean(full_train_set$outcome == 'default'), 1)\n",
    "full_model <- glm(outcome ~ payment_inc_ratio + purpose_ + \n",
    "                  home_ + emp_len_+ dti + revol_bal + revol_util,\n",
    "                  data=full_train_set, weight=wt, family='quasibinomial')\n",
    "pred <- predict(full_model)\n",
    "mean(pred > 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Generation\n",
    "There are a variety of SMOTE implementation available in R. The package `unbalanced` provides SMOTE and other methods. Unfortunately, it's not working for your dataset. \n",
    "\n",
    "The SMOTE implementation in the package `DMwR` works. However `DMwR` is no longer supported."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:35.064399Z",
     "iopub.status.busy": "2022-04-26T20:06:35.062456Z",
     "iopub.status.idle": "2022-04-26T20:06:35.090741Z",
     "shell.execute_reply": "2022-04-26T20:06:35.089157Z"
    }
   },
   "outputs": [],
   "source": [
    "loan_data_samp <- sample_frac(full_train_set, .05)\n",
    "\n",
    "# # install.packages('unbalanced')\n",
    "# library(unbalanced)\n",
    "# head(full_train_set)\n",
    "# smote_data <- ubSMOTE(loan_data_samp, loan_data_samp$outcome, \n",
    "#                       perc.over = 2000, k = 5, perc.under = 100)\n",
    "# head(smote_data)\n",
    "\n",
    "# install.packages('DMwR')\n",
    "# library(DMwR)\n",
    "# smote_data <- SMOTE(outcome ~ ., loan_data_samp, \n",
    "#                     perc.over = 2000, perc.under=100)\n",
    "# dim(loan_data_samp)\n",
    "# dim(smote_data)\n",
    "# head(smote_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploring the Predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:35.095406Z",
     "iopub.status.busy": "2022-04-26T20:06:35.094194Z",
     "iopub.status.idle": "2022-04-26T20:13:39.893982Z",
     "shell.execute_reply": "2022-04-26T20:13:39.891351Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "mapping: intercept = ~intercept, slope = ~slope \n",
       "geom_abline: na.rm = FALSE\n",
       "stat_identity: na.rm = FALSE\n",
       "position_identity "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_tree <- rpart(outcome ~ borrower_score + payment_inc_ratio,\n",
    "                   data=loan3000, \n",
    "                   control = rpart.control(cp=.005))\n",
    "\n",
    "geom_abline(slope=slope, intercept=intercept, color='darkgreen')\n",
    "lda_pred <- data.frame(borrower_score = c((0 - intercept) / slope, (20 - intercept) / slope),\n",
    "                       payment_inc_ratio = c(0, 20),\n",
    "                       method = rep('LDA', 2))\n",
    "\n",
    "tree_pred <- data.frame(borrower_score = c(0.375, 0.375, 0.475, 0.475, 0.575, 0.575),\n",
    "                        payment_inc_ratio = c(0, 4.426,  4.426, 10.42, 10.42, 20),\n",
    "                        method = rep('Tree', 6))\n",
    "\n",
    "glm0 <- glm(outcome ~ (payment_inc_ratio) +  (borrower_score),\n",
    "            data=loan3000, family='binomial')\n",
    "y <- seq(from=0, to=20, length=100)\n",
    "x <- (-glm0$coefficients[1] - glm0$coefficients[2]*y)/glm0$coefficients[3]\n",
    "glm0_pred <- data.frame(borrower_score=x, payment_inc_ratio=y, method='Logistic')\n",
    "\n",
    "gam1 <- gam(outcome ~ s(payment_inc_ratio) +  s(borrower_score),\n",
    "            data=loan3000, family='binomial')\n",
    "gam_fun <- function(x){\n",
    "  rss <- sum(predict(gam1, newdata=data.frame(borrower_score=x, payment_inc_ratio=y))^2)\n",
    "}\n",
    "est_x <- nlminb(seq(from=.33, to=.73, length=100), gam_fun )\n",
    "gam1_pred <- data.frame(borrower_score=est_x$par, payment_inc_ratio=y, method=\"GAM\")\n",
    "\n",
    "loan_fits <- rbind(lda_pred,\n",
    "                   tree_pred,\n",
    "                   glm0_pred,\n",
    "                   gam1_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:13:39.902808Z",
     "iopub.status.busy": "2022-04-26T20:13:39.901212Z",
     "iopub.status.idle": "2022-04-26T20:13:40.196950Z",
     "shell.execute_reply": "2022-04-26T20:13:40.195537Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XIPh+sAog0KOwAACAJJJssqLTbRa6m5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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph <- ggplot(data=loan_fits, aes(x=borrower_score, y=payment_inc_ratio, color=method, linetype=method)) +\n",
    "  geom_line(size=1.5) +\n",
    "  theme(legend.key.width = unit(2,\"cm\")) +\n",
    "  guides(linetype = guide_legend(override.aes = list(size = 1)))\n",
    "graph"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.1.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
